Near optimal Golomb rulers with 14 marks

This list includes mirror rulers and is sorted by length and by the first differences.


{ /* OGR-14*/

{0,  4,  6, 20, 35, 52, 59, 77, 78, 86, 89, 99,122,127},
{0,  5, 28, 38, 41, 49, 50, 68, 75, 92,107,121,123,127},

{0,  7,  9, 17, 22, 38, 57, 58, 61, 85, 91,103,117,128},
{0, 11, 25, 37, 43, 67, 70, 71, 90,106,111,119,121,128},

{0,  1,  5, 14, 17, 37, 48, 55, 70, 94,100,119,121,129},
{0,  1,  6, 17, 25, 43, 46, 58, 93, 97,107,120,127,129},
{0,  1,  8, 12, 26, 35, 48, 54, 64, 85,109,124,126,129},
{0,  2,  9, 22, 32, 36, 71, 83, 86,104,112,123,128,129},
{0,  3,  5, 20, 44, 65, 75, 81, 94,103,117,121,128,129},
{0,  8, 10, 29, 35, 59, 74, 81, 92,112,115,124,128,129},

{0,  1,  5, 23, 35, 38, 59, 66, 79,105,111,119,121,130},
{0,  9, 11, 19, 25, 51, 64, 71, 92, 95,107,125,129,130},

{0,  1,  6,  8, 24, 28, 41, 71, 83, 92,102,117,128,131},
{0,  1,  6, 13, 21, 45, 55, 81, 85,103,112,114,128,131},
{0,  1,  7, 19, 41, 57, 67, 84, 87, 92,116,120,129,131},
{0,  1,  7, 29, 37, 47, 61, 78, 81,104,116,120,129,131},
{0,  2, 11, 15, 27, 50, 53, 70, 84, 94,102,124,130,131},
{0,  2, 11, 15, 39, 44, 47, 64, 74, 90,112,124,130,131},
{0,  2, 11, 25, 35, 53, 54, 84, 90,111,116,124,128,131},
{0,  3,  7, 15, 20, 41, 47, 77, 78, 96,106,120,129,131},
{0,  3, 14, 29, 39, 48, 60, 90,103,107,123,125,130,131},
{0,  3, 17, 19, 28, 46, 50, 76, 86,110,118,125,130,131},
{0,  3, 28, 46, 48, 57, 81, 87, 97,104,118,119,123,131},
{0,  8, 12, 13, 27, 34, 44, 50, 74, 83, 85,103,128,131},

{0,  1,  7, 19, 44, 47, 58, 67, 96,100,117,122,130,132},
{0,  1, 15, 19, 41, 49, 70, 76, 87,107,120,123,130,132},
{0,  1, 17, 23, 38, 49, 63, 73, 91, 93,120,124,127,132},
{0,  1, 23, 39, 47, 56, 59, 90,100,104,119,125,130,132},
{0,  2,  7, 13, 28, 32, 42, 73, 76, 85, 93,109,131,132},
{0,  2,  9, 12, 25, 45, 56, 62, 83, 91,113,117,131,132},
{0,  2, 10, 15, 32, 36, 65, 74, 85, 88,113,125,131,132},
{0,  5,  8, 12, 39, 41, 59, 69, 83, 94,109,115,131,132},

{0,  1,  3, 23, 28, 39, 57, 71, 83, 92,116,123,129,133},
{0,  1,  4, 14, 36, 48, 54, 75,100,105,116,124,131,133},
{0,  1,  4, 16, 18, 26, 53, 58, 77, 86, 97,120,127,133},
{0,  1,  8, 21, 23, 50, 54, 60, 86,105,116,121,130,133},
{0,  1,  9, 13, 35, 41, 58, 68, 83,112,114,119,130,133},
{0,  1, 11, 16, 34, 37, 61, 80, 89,102,119,127,131,133},
{0,  2,  6, 13, 30, 42, 51, 67, 77,110,111,125,130,133},
{0,  2,  6, 14, 31, 44, 53, 72, 96, 99,117,122,132,133},
{0,  2,  9, 17, 23, 36, 56, 66, 88, 91,117,128,129,133},
{0,  2,  9, 17, 28, 33, 58, 79, 85, 97,119,129,132,133},
{0,  3,  8, 17, 40, 56, 69, 84, 91,102,103,127,129,133},
{0,  3,  8, 22, 23, 56, 66, 82, 91,103,120,127,131,133},
{0,  3, 12, 17, 28, 47, 73, 79, 83,110,112,125,132,133},
{0,  3, 14, 19, 21, 50, 65, 75, 92, 98,120,124,132,133},
{0,  4,  5, 16, 42, 45, 67, 77, 97,110,116,124,131,133},
{0,  4,  6, 30, 31, 42, 49, 64, 77, 93,116,125,130,133},
{0,  4, 10, 17, 41, 50, 62, 76, 94,105,110,130,132,133},
{0,  6, 13, 36, 47, 56, 75, 80,107,115,117,129,132,133},
{0,  6, 14, 29, 36, 40, 53, 73, 78,105,121,123,124,133},
{0,  9, 10, 12, 28, 55, 60, 80, 93, 97,104,119,127,133},

{0,  1,  3,  9, 23, 28, 38, 70, 77, 88,101,118,122,134},
{0,  1,  3, 12, 17, 36, 44, 57, 75, 82,104,124,130,134},
{0,  1,  3, 17, 29, 36, 73, 81, 86,104,113,124,128,134},
{0,  1,  4, 12, 44, 60, 70, 77, 83, 98,107,112,132,134},
{0,  1,  4, 26, 45, 57, 59, 87, 94,105,111,121,126,134},
{0,  1,  5,  7, 25, 40, 53, 76, 85, 97,107,123,126,134},
{0,  1,  5, 20, 32, 54, 60, 84, 98,105,121,123,131,134},
{0,  1,  7, 15, 19, 39, 42, 55, 76,101,106,123,132,134},
{0,  1,  7, 22, 25, 45, 56, 82, 84, 98,117,125,130,134},
{0,  1,  8, 11, 35, 58, 73, 86, 91,103,112,128,132,134},
{0,  1, 10, 13, 36, 43, 57, 61, 95,110,115,126,132,134},
{0,  1, 10, 22, 29, 47, 55, 61, 91,114,118,129,131,134},
{0,  1, 11, 16, 29, 53, 65, 86,100,108,125,127,131,134},
{0,  1, 11, 26, 34, 55, 62, 82, 94,112,125,129,131,134},
{0,  1, 17, 19, 25, 48, 57, 70, 85, 90,120,124,131,134},
{0,  1, 24, 31, 35, 51, 68, 73, 87,113,116,126,128,134},
{0,  2,  3,  8, 24, 34, 51, 69, 81, 92,106,121,125,134},
{0,  2,  6,  9, 31, 55, 63, 78, 83, 96, 97,113,123,134},
{0,  2,  6, 20, 36, 37, 62, 75, 86,107,119,126,129,134},
{0,  2,  6, 22, 31, 43, 48, 61, 76, 99,123,126,133,134},
{0,  2,  6, 22, 35, 62, 73, 85, 92,116,117,126,131,134},
{0,  2,  8, 19, 24, 39, 73, 77, 91, 98,121,124,133,134},
{0,  2, 10, 19, 22, 57, 61, 84, 97,102,113,127,128,134},
{0,  2, 11, 28, 33, 58, 79, 92, 95,115,119,127,133,134},
{0,  2, 12, 19, 35, 63, 69, 78,105,109,110,123,131,134},
{0,  2, 22, 27, 36, 51, 57, 64, 74, 90,122,130,133,134},
{0,  3,  5,  9, 22, 40, 52, 72, 79,100,108,123,133,134},
{0,  3,  5, 16, 20, 43, 73, 79, 87,105,112,124,133,134},
{0,  3,  7,  9, 26, 34, 48, 69, 81,105,118,123,133,134},
{0,  3,  7, 13, 35, 47, 58, 72, 77,108,110,125,126,134},
{0,  3,  8,  9, 25, 45, 55, 73, 94, 96,108,123,127,134},
{0,  3,  8, 17, 18, 42, 49, 61, 72, 99,112,128,132,134},
{0,  3, 10, 14, 44, 49, 64, 77, 86,109,115,117,133,134},
{0,  3, 11, 13, 29, 36, 50, 74, 80,102,114,129,133,134},
{0,  3, 11, 24, 25, 29, 56, 65, 71, 99,115,122,132,134},
{0,  3, 13, 21, 33, 55, 61, 84, 98, 99,123,125,130,134},
{0,  4,  9, 11, 35, 36, 50, 73, 79,101,113,121,131,134},
{0,  4,  9, 17, 36, 50, 52, 78, 89,109,112,127,133,134},
{0,  4, 10, 30, 52, 59, 77, 90, 98,117,122,131,133,134},
{0,  4, 13, 24, 34, 52, 59, 85, 97,112,126,128,129,134},
{0,  5,  6,  8, 22, 37, 49, 75, 82,100,110,121,130,134},
{0,  5,  8, 15, 27, 48, 59, 72, 97, 98,114,128,132,134},
{0,  6,  7, 21, 32, 37, 50, 73, 77,112,115,124,132,134},
{0,  6,  8, 18, 21, 47, 61, 66, 83, 99,103,110,133,134},
{0,  6, 10, 21, 30, 48, 53, 61, 98,105,117,131,133,134},
{0,  7, 11, 26, 38, 40, 61, 79, 89,109,125,126,131,134},
{0,  8,  9, 24, 26, 57, 62, 76, 87, 99,121,127,131,134},
{0,  8, 11, 27, 37, 49, 58, 81, 94,109,127,129,133,134},
{0,  8, 13, 23, 29, 40, 47, 75, 77, 89,108,130,133,134},
{0,  9, 13, 28, 42, 53, 65, 83,100,110,126,131,132,134},
{0, 11, 21, 37, 38, 51, 56, 71, 79,103,125,128,132,134},
{0, 12, 16, 33, 46, 57, 64, 96,106,111,125,131,133,134},

{0,  1,  3,  7, 18, 39, 51, 73, 82, 98,108,122,127,135},
{0,  1,  3,  8, 25, 34, 46, 64, 87,100,115,119,129,135},
{0,  1,  3, 11, 26, 42, 46, 78, 95,102,107,116,129,135},
{0,  1,  3, 13, 31, 39, 66, 73, 89,106,110,121,130,135},
{0,  1,  4,  9, 19, 40, 52, 78, 89,106,113,119,133,135},
{0,  1,  4, 14, 43, 50, 62, 80,102,107,118,127,133,135},
{0,  1,  4, 29, 39, 59, 72, 86,104,109,120,126,128,135},
{0,  1,  5, 19, 41, 57, 69, 90,100,103,120,127,129,135},
{0,  1,  6,  8, 24, 44, 71, 81, 93,102,106,121,132,135},
{0,  1,  6, 14, 34, 38, 49, 65, 88,106,109,118,128,135},
{0,  1,  7, 10, 34, 49, 54, 80, 94,110,112,123,131,135},
{0,  1,  7, 28, 39, 42, 65, 82,101,111,113,126,131,135},
{0,  1,  8, 14, 24, 52, 56, 71, 89,101,110,130,132,135},
{0,  1, 10, 14, 22, 57, 63, 74, 89,105,108,128,133,135},
{0,  1, 10, 18, 48, 52, 54, 76, 89,109,116,121,132,135},
{0,  1, 10, 36, 38, 52, 57, 60, 91,106,118,124,131,135},
{0,  1, 12, 26, 30, 35, 75, 81, 94, 97,118,125,133,135},
{0,  1, 12, 40, 45, 48, 69, 83,103,110,120,129,133,135},
{0,  1, 13, 19, 41, 51, 62, 76, 99,106,115,130,132,135},
{0,  1, 18, 24, 32, 53, 75, 79, 86, 95,120,123,125,135},
{0,  1, 21, 27, 35, 59, 82, 84, 95,113,123,128,132,135},
{0,  1, 22, 34, 47, 64, 74, 92,100,115,124,129,131,135},
{0,  2,  3, 18, 40, 47, 73, 83,103,108,114,122,131,135},
{0,  2,  5, 12, 25, 31, 61, 72, 89, 93,111,126,127,135},
{0,  2,  6,  7, 26, 42, 54, 76, 91,105,114,122,132,135},
{0,  2,  6, 15, 25, 32, 52, 66, 87, 90, 95,123,134,135},
{0,  2,  6, 24, 25, 40, 68, 76, 79, 89,109,121,126,135},
{0,  2,  6, 25, 30, 41, 68, 86,101,115,122,123,132,135},
{0,  2,  7, 27, 30, 46, 61, 72, 78,113,121,125,134,135},
{0,  2,  8, 15, 32, 46, 50, 73, 95,106,107,116,132,135},
{0,  2,  8, 17, 28, 33, 55, 73, 85, 92,121,131,134,135},
{0,  2,  8, 21, 28, 39, 51, 73, 89,106,121,130,131,135},
{0,  2, 10, 17, 38, 41, 54, 60,100,105,109,123,134,135},
{0,  2, 16, 22, 29, 46, 57, 83, 95,116,126,131,134,135},
{0,  2, 18, 19, 41, 44, 68, 74, 78,106,114,121,126,135},
{0,  3,  4, 15, 33, 55, 68, 87, 92,112,118,126,128,135},
{0,  3,  4, 19, 37, 47, 58, 82, 99,108,122,128,130,135},
{0,  3,  5, 20, 29, 36, 59, 73, 84, 94,116,122,134,135},
{0,  3,  5, 23, 29, 45, 64, 72, 73,103,110,120,124,135},
{0,  3,  5, 25, 34, 46, 64, 79, 83,111,121,127,134,135},
{0,  3,  7, 12, 22, 40, 51, 53, 76,100,108,114,134,135},
{0,  3,  7, 12, 28, 46, 57, 72, 94, 95,108,125,127,135},
{0,  3,  8, 17, 24, 42, 71, 86, 98, 99,109,129,131,135},
{0,  3, 10, 19, 32, 37, 65, 79, 90, 91,114,129,131,135},
{0,  3, 12, 13, 20, 34, 49, 67, 94,105,110,129,133,135},
{0,  3, 12, 16, 39, 45, 53, 79,100,110,111,128,130,135},
{0,  3, 12, 17, 43, 44, 68, 78, 98,114,116,120,127,135},
{0,  3, 13, 21, 30, 44, 59, 81, 93,109,128,129,133,135},
{0,  3, 14, 19, 26, 46, 59, 81, 83, 87,117,125,134,135},
{0,  3, 14, 29, 33, 42, 54, 64, 91,111,127,129,134,135},
{0,  3, 15, 24, 34, 38, 56, 85, 86,102,122,128,130,135},
{0,  3, 19, 28, 29, 40, 62, 85, 89,103,120,127,133,135},
{0,  4,  5, 14, 29, 46, 62, 84, 96,107,114,127,133,135},
{0,  4,  6, 11, 20, 35, 43, 61, 71, 88,101,113,134,135},
{0,  4,  6, 21, 44, 45, 56, 70, 98,103,116,125,132,135},
{0,  4,  6, 26, 36, 37, 49, 64, 93,111,118,127,132,135},
{0,  4,  9, 22, 24, 34, 53, 70, 93, 96,107,128,134,135},
{0,  4, 11, 17, 29, 44, 75, 78, 83, 97, 99,125,134,135},
{0,  4, 12, 23, 25, 41, 55, 81, 86,101,125,128,134,135},
{0,  4, 13, 21, 27, 32, 52, 62, 88, 95,117,132,133,135},
{0,  4, 18, 39, 49, 50, 65, 93,102,105,122,127,129,135},
{0,  5,  6, 13, 23, 37, 58, 80, 84, 96, 99,124,126,135},
{0,  5,  6, 19, 21, 43, 66, 76, 84, 93, 96,124,128,135},
{0,  5,  7, 13, 27, 36, 53, 77, 88, 98,116,131,132,135},
{0,  5,  7, 13, 33, 49, 50, 79, 97,101,111,120,132,135},
{0,  5,  7, 24, 25, 35, 56, 82, 90, 96,119,123,132,135},
{0,  5, 14, 25, 29, 46, 62, 69, 96,104,122,132,134,135},
{0,  6,  8, 13, 30, 33, 42, 70, 85, 86, 96,117,131,135},
{0,  6,  8, 15, 32, 35, 45, 66, 78, 94,116,130,134,135},
{0,  6,  8, 46, 49, 71, 78, 88, 99,104,108,122,123,135},
{0,  6, 16, 20, 35, 48, 71, 89,101,110,127,132,134,135},
{0,  6, 19, 28, 33, 40, 57, 89, 93,109,124,132,134,135},
{0,  7,  9, 15, 26, 31, 49, 63, 76, 96,106,131,134,135},
{0,  7,  9, 17, 23, 43, 48, 67, 80,102,120,131,132,135},
{0,  7, 11, 39, 42, 51, 59, 69, 92,114,116,129,130,135},
{0,  7, 17, 26, 29, 47, 70, 86, 97,101,121,129,134,135},
{0,  8,  9, 24, 42, 46, 63, 74,104,110,123,130,133,135},
{0,  8, 10, 27, 40, 41, 63, 78, 89,107,123,128,132,135},
{0,  8, 13, 27, 37, 53, 62, 84, 96,117,128,132,134,135},
{0,  8, 15, 19, 21, 37, 57, 67, 91, 92,118,123,132,135},
{0,  9, 11, 36, 39, 51, 55, 77, 98,112,122,129,130,135},
{0,  9, 14, 21, 29, 57, 61, 67, 91, 94,116,117,133,135},
{0,  9, 14, 26, 46, 56, 59, 67, 95,110,111,129,133,135},
{0,  9, 28, 32, 40, 46, 53, 70, 73, 75,109,124,125,135},
{0, 10, 11, 26, 60, 62, 65, 82, 89, 95,103,107,126,135},
{0, 10, 12, 15, 40, 49, 56, 60, 82,103,111,117,134,135},
{0, 11, 15, 25, 32, 62, 63, 71, 90,106,112,130,132,135},
{0, 12, 13, 27, 31, 36, 47, 57, 64, 86, 89,127,129,135},
{0, 12, 21, 27, 32, 46, 74, 76, 77, 84,100,113,117,135},
{0, 18, 22, 35, 51, 58, 59, 61, 89,103,108,114,123,135},

{0,  1,  3,  8, 28, 32, 43, 69, 81, 90,103,120,126,136},
{0,  1,  3,  9, 16, 35, 53, 65, 89, 94,111,122,132,136},
{0,  1,  3, 10, 15, 39, 58, 69, 85, 91,111,119,132,136},
{0,  1,  3, 17, 29, 36, 75, 81, 85, 96,105,123,128,136},
{0,  1,  3, 17, 43, 52, 70, 82,102,107,115,126,130,136},
{0,  1,  3, 19, 25, 29, 40, 73, 78, 85,105,119,128,136},
{0,  1,  3, 26, 42, 54, 60, 87, 92,106,116,123,127,136},
{0,  1,  4,  9, 25, 37, 52, 63, 81, 83,113,123,130,136},
{0,  1,  4, 10, 23, 34, 62, 80, 88,100,115,129,131,136},
{0,  1,  4, 11, 31, 40, 65, 77, 93,110,115,128,134,136},
{0,  1,  4, 12, 17, 27, 45, 59, 65, 84,105,127,134,136},
{0,  1,  4, 13, 31, 48, 55, 77,100,115,120,126,134,136},
{0,  1,  4, 16, 36, 54, 59, 80, 88, 99,105,127,129,136},
{0,  1,  4, 31, 50, 71, 85, 91,103,114,119,127,129,136},
{0,  1,  5, 11, 19, 32, 49, 58, 65, 99,101,121,124,136},
{0,  1,  5, 12, 32, 47, 57, 75, 98,112,115,128,134,136},
{0,  1,  5, 17, 37, 43, 51, 78, 96,103,106,125,127,136},
{0,  1,  5, 18, 26, 41, 53, 55, 87, 98,120,126,129,136},
{0,  1,  5, 19, 29, 36, 49, 75, 91,113,125,128,134,136},
{0,  1,  5, 20, 23, 33, 49, 73, 84, 90,115,127,129,136},
{0,  1,  5, 20, 38, 46, 52, 59, 69, 81,109,125,134,136},
{0,  1,  5, 23, 29, 44, 56, 75, 91,116,123,125,133,136},
{0,  1,  6,  9, 26, 30, 49, 62, 77, 84, 95,122,134,136},
{0,  1,  6, 25, 28, 40, 57, 75, 83,106,116,120,127,136},
{0,  1,  7,  9, 19, 32, 53, 77, 80, 94,116,120,131,136},
{0,  1,  7, 11, 20, 32, 61, 66, 94, 96,110,118,133,136},
{0,  1,  7, 15, 33, 44, 57, 60, 96,106,108,127,131,136},
{0,  1,  7, 16, 21, 33, 51, 55, 74, 98,123,126,134,136},
{0,  1,  7, 19, 23, 55, 70, 72, 98,101,111,122,131,136},
{0,  1,  7, 19, 33, 35, 64, 74, 89,112,116,125,133,136},
{0,  1,  7, 23, 26, 28, 40, 74, 83, 87, 98,118,128,136},
{0,  1,  8, 11, 31, 43, 45, 60, 81,108,114,127,132,136},
{0,  1,  8, 12, 17, 40, 42, 61, 71, 85, 98,118,133,136},
{0,  1,  9, 12, 38, 43, 65, 88, 95,101,116,120,134,136},
{0,  1,  9, 13, 30, 32, 66, 82, 88, 93,108,126,133,136},
{0,  1,  9, 14, 37, 48, 70, 86,105,112,115,130,132,136},
{0,  1,  9, 15, 36, 61, 77, 81, 94,105,124,131,134,136},
{0,  1,  9, 25, 45, 51, 64, 66, 99,104,122,126,133,136},
{0,  1, 11, 13, 19, 46, 61, 82, 85, 89,105,114,119,136},
{0,  1, 11, 13, 19, 46, 61, 82, 99,104,113,129,133,136},
{0,  1, 11, 14, 23, 44, 59, 63, 79, 97,105,129,134,136},
{0,  1, 11, 25, 37, 41, 59, 76, 79,108,123,129,131,136},
{0,  1, 11, 25, 43, 51, 66, 78, 97,114,127,130,134,136},
{0,  1, 11, 28, 44, 46, 50, 69, 76,107,116,128,131,136},
{0,  1, 11, 32, 48, 67, 73, 81,107,109,124,127,131,136},
{0,  1, 12, 26, 30, 72, 80, 93, 95,100,117,127,133,136},
{0,  1, 13, 22, 27, 52, 72, 87, 89, 95,105,129,133,136},
{0,  1, 15, 20, 28, 31, 65, 88, 90, 97,114,126,132,136},
{0,  1, 15, 21, 38, 49, 65, 73, 91, 95,124,127,134,136},
{0,  1, 16, 20, 38, 49, 55, 63, 95,105,108,129,131,136},
{0,  1, 16, 29, 40, 47, 72, 77,110,113,122,130,132,136},
{0,  1, 19, 27, 31, 73, 76, 86, 97,114,120,129,134,136},
{0,  1, 20, 47, 55, 61, 85,100,103,113,125,129,134,136},
{0,  1, 23, 31, 37, 42, 63, 76, 80,109,124,127,134,136},
{0,  2,  3, 12, 16, 40, 45, 63, 84,104,111,119,130,136},
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},