Near optimal Golomb rulers with 13 marks
This list includes mirror rulers and is sorted by length and by the
first differences.
{ /* OGR-13*/
{0, 2, 5, 25, 37, 43, 59, 70, 85, 89, 98, 99,106},
{0, 7, 8, 17, 21, 36, 47, 63, 69, 81,101,104,106},
{0, 1, 10, 27, 35, 47, 50, 66, 80, 98,102,104,109},
{0, 2, 3, 16, 26, 34, 54, 61, 73, 94, 98,103,109},
{0, 2, 9, 12, 32, 47, 48, 72, 76, 90, 98,103,109},
{0, 5, 7, 11, 29, 43, 59, 62, 74, 82, 99,108,109},
{0, 6, 11, 15, 36, 48, 55, 75, 83, 93,106,107,109},
{0, 6, 11, 19, 33, 37, 61, 62, 77, 97,100,107,109},
{0, 1, 3, 23, 32, 42, 47, 58, 85, 92, 98,106,110},
{0, 1, 6, 15, 33, 35, 46, 63, 84, 88,100,107,110},
{0, 3, 10, 16, 34, 36, 45, 66, 83, 91,105,106,110},
{0, 3, 10, 22, 26, 47, 64, 75, 77, 95,104,109,110},
{0, 4, 5, 19, 27, 44, 65, 74, 76, 94,100,107,110},
{0, 4, 12, 18, 25, 52, 63, 68, 78, 87,107,109,110},
{0, 1, 3, 12, 19, 36, 59, 73, 81, 86,101,107,111},
{0, 1, 3, 12, 28, 33, 48, 62, 70, 88,101,105,111},
{0, 1, 4, 11, 23, 37, 39, 57, 66, 81, 98,106,111},
{0, 1, 4, 20, 26, 37, 50, 58, 68, 97,102,109,111},
{0, 1, 6, 19, 34, 36, 44, 58, 84, 95,104,107,111},
{0, 1, 7, 29, 39, 54, 63, 80, 84, 98,100,103,111},
{0, 1, 13, 19, 34, 44, 60, 74, 82,102,106,109,111},
{0, 2, 3, 11, 29, 36, 48, 53, 76, 91, 97,107,111},
{0, 2, 5, 9, 29, 37, 51, 67, 77, 92, 98,110,111},
{0, 2, 9, 14, 43, 53, 61, 74, 85, 91,107,110,111},
{0, 3, 11, 38, 40, 47, 62, 72, 88, 92, 93,105,111},
{0, 4, 7, 16, 27, 53, 67, 75, 77, 92,105,110,111},
{0, 4, 10, 25, 30, 38, 52, 75, 92, 99,108,110,111},
{0, 4, 14, 20, 35, 58, 63, 75, 82,100,108,109,111},
{0, 5, 13, 30, 45, 54, 72, 74, 88,100,107,110,111},
{0, 6, 10, 23, 41, 49, 63, 78, 83, 99,108,110,111},
{0, 6, 18, 19, 23, 39, 49, 64, 71, 73,100,108,111},
{0, 8, 11, 13, 27, 31, 48, 57, 72, 82,104,110,111},
{0, 1, 3, 11, 26, 45, 59, 65, 83, 96,100,105,112},
{0, 1, 3, 11, 27, 42, 59, 65, 87, 94, 99,108,112},
{0, 1, 4, 30, 35, 47, 54, 74, 87, 96,102,110,112},
{0, 1, 5, 17, 26, 45, 63, 74, 77, 97,104,110,112},
{0, 1, 5, 17, 35, 44, 59, 81, 84, 91,104,110,112},
{0, 1, 5, 30, 40, 52, 68, 86, 88, 95,101,109,112},
{0, 1, 6, 9, 28, 38, 53, 64, 77, 94, 98,110,112},
{0, 1, 7, 30, 33, 41, 51, 76, 88, 90,103,107,112},
{0, 1, 8, 19, 22, 42, 51, 68, 81, 96,106,108,112},
{0, 1, 9, 12, 34, 50, 65, 82, 86, 92,105,110,112},
{0, 1, 11, 18, 41, 55, 61, 74, 76,100,103,108,112},
{0, 1, 11, 18, 43, 57, 63, 72, 76, 84,107,110,112},
{0, 1, 12, 14, 34, 42, 49, 59, 80, 85,103,109,112},
{0, 1, 15, 26, 36, 43, 49, 80, 82,100,104,109,112},
{0, 2, 5, 28, 36, 40, 49, 55, 69, 94,101,111,112},
{0, 2, 6, 15, 25, 42, 43, 54, 74, 88,104,109,112},
{0, 2, 6, 20, 21, 46, 54, 70, 77, 82, 99,109,112},
{0, 2, 7, 20, 26, 30, 47, 62, 78,100,103,111,112},
{0, 2, 7, 23, 34, 40, 48, 60, 84, 99,102,103,112},
{0, 2, 8, 15, 35, 38, 49, 67, 86, 95,107,111,112},
{0, 2, 8, 17, 38, 58, 65, 69, 70, 83, 93,109,112},
{0, 2, 8, 21, 28, 31, 53, 68, 77, 95,107,111,112},
{0, 2, 10, 16, 25, 38, 58, 65, 77, 82,108,111,112},
{0, 2, 10, 21, 24, 36, 59, 66, 75, 79,106,107,112},
{0, 2, 12, 20, 37, 44, 58, 73, 84,103,106,107,112},
{0, 2, 14, 18, 35, 48, 59, 74, 84,103,106,111,112},
{0, 2, 20, 25, 33, 49, 52, 61, 91, 95,105,106,112},
{0, 3, 8, 12, 30, 32, 63, 69, 76, 86, 97,111,112},
{0, 3, 8, 24, 38, 58, 69, 70, 87, 97,106,110,112},
{0, 3, 9, 27, 32, 53, 63, 70, 78, 98,100,111,112},
{0, 3, 11, 17, 24, 26, 44, 60, 72, 82,107,111,112},
{0, 3, 13, 30, 35, 42, 58, 66, 91, 92,106,110,112},
{0, 3, 19, 29, 42, 43, 47, 54, 74, 95,104,110,112},
{0, 4, 6, 16, 31, 44, 61, 70, 90, 93,104,111,112},
{0, 4, 9, 12, 36, 38, 51, 57, 71, 94,101,111,112},
{0, 4, 13, 18, 25, 47, 53, 70, 85,101,109,111,112},
{0, 5, 6, 9, 28, 39, 54, 68, 75, 92,100,110,112},
{0, 5, 6, 33, 37, 46, 53, 76, 88, 91,102,110,112},
{0, 5, 9, 22, 24, 36, 61, 71, 79, 82,105,111,112},
{0, 6, 7, 17, 21, 51, 60, 63, 79, 87, 92,110,112},
{0, 7, 12, 16, 29, 47, 53, 67, 86,101,109,111,112},
{0, 9, 10, 13, 28, 52, 64, 72, 78, 89,105,110,112},
{0, 1, 3, 10, 26, 41, 46, 65, 78, 95, 99,107,113},
{0, 1, 3, 12, 17, 39, 59, 63, 82, 92,100,107,113},
{0, 1, 3, 18, 29, 37, 41, 61, 86, 91,100,107,113},
{0, 1, 3, 21, 36, 45, 49, 76, 83, 88, 99,105,113},
{0, 1, 4, 9, 25, 43, 53, 65, 80, 94,100,111,113},
{0, 1, 4, 22, 32, 49, 69, 75, 88, 99,104,111,113},
{0, 1, 4, 26, 33, 42, 53, 77, 90, 96, 98,108,113},
{0, 1, 5, 7, 23, 33, 50, 58, 69, 89, 98,110,113},
{0, 1, 5, 11, 33, 46, 54, 77, 84, 93, 96,111,113},
{0, 1, 7, 15, 25, 36, 48, 52, 82, 91,108,110,113},
{0, 1, 8, 11, 28, 47, 52, 73, 82, 95,107,111,113},
{0, 1, 8, 12, 31, 37, 52, 65, 70, 87, 97,111,113},
{0, 1, 8, 28, 31, 33, 42, 52, 78, 91, 95,107,113},
{0, 1, 10, 12, 30, 36, 43, 64, 68, 91,105,108,113},
{0, 1, 10, 13, 37, 45, 51, 70, 91, 93, 98,109,113},
{0, 1, 15, 27, 31, 49, 56, 66, 89,102,108,110,113},
{0, 1, 17, 19, 24, 28, 59, 62, 72, 84, 92, 98,113},
{0, 1, 17, 19, 24, 28, 59, 74, 80, 88,100,110,113},
{0, 1, 21, 29, 33, 47, 52, 86, 89, 96,102,111,113},
{0, 1, 26, 36, 41, 58, 70, 86, 89,100,107,109,113},
{0, 2, 3, 15, 37, 43, 61, 69, 88, 92, 99,108,113},
{0, 2, 3, 17, 36, 43, 66, 71, 82, 91, 95,103,113},
{0, 2, 6, 18, 31, 40, 61, 66, 85,102,105,112,113},
{0, 2, 7, 8, 21, 38, 54, 64, 86, 89, 98,109,113},
{0, 2, 9, 14, 25, 38, 44, 64, 81, 91,109,112,113},
{0, 2, 10, 16, 17, 36, 48, 59, 83, 88, 92,110,113},
{0, 2, 10, 16, 37, 48, 57, 70, 82, 87,106,110,113},
{0, 2, 11, 17, 24, 27, 61, 66, 80, 84, 92,112,113},
{0, 2, 13, 19, 33, 48, 60, 70, 88,104,109,112,113},
{0, 2, 16, 26, 43, 48, 61, 76, 82,101,105,112,113},
{0, 2, 17, 20, 29, 36, 59, 67, 80,102,108,112,113},
{0, 3, 5, 11, 24, 47, 57, 64, 82, 86, 98,112,113},
{0, 3, 5, 22, 31, 61, 65, 77, 88, 98,106,112,113},
{0, 3, 7, 26, 31, 43, 56, 65, 76, 97,103,111,113},
{0, 3, 10, 18, 27, 46, 62, 75, 76, 87,107,109,113},
{0, 3, 11, 24, 39, 46, 72, 84, 86,103,104,109,113},
{0, 3, 13, 25, 33, 39, 54, 85, 86,102,104,109,113},
{0, 3, 13, 25, 33, 39, 54, 85, 89, 94, 96,112,113},
{0, 3, 15, 24, 44, 55, 63, 80, 90,106,108,112,113},
{0, 3, 21, 25, 30, 54, 65, 77, 96, 97,103,111,113},
{0, 4, 6, 13, 24, 27, 43, 55, 72, 77, 87,112,113},
{0, 4, 6, 26, 37, 38, 51, 67, 86, 95,103,110,113},
{0, 4, 9, 10, 27, 29, 41, 67, 74, 89,102,110,113},
{0, 4, 9, 11, 27, 28, 59, 74, 80, 88,100,110,113},
{0, 4, 15, 20, 22, 43, 62, 68, 76,100,103,112,113},
{0, 4, 15, 24, 27, 49, 59, 75, 92,105,106,111,113},
{0, 5, 8, 22, 45, 49, 70, 77, 83,101,103,112,113},
{0, 5, 14, 21, 25, 44, 52, 70, 76, 98,110,111,113},
{0, 5, 15, 17, 23, 36, 60, 71, 80, 87,109,112,113},
{0, 6, 13, 21, 31, 50, 54, 74, 96,101,110,112,113},
{0, 6, 13, 22, 27, 52, 72, 76, 84, 95,110,112,113},
{0, 6, 14, 18, 35, 48, 67, 72, 87,103,110,112,113},
{0, 6, 18, 22, 35, 61, 71, 80, 82, 85,105,112,113},
{0, 8, 14, 25, 30, 37, 64, 68, 77, 92,110,112,113},
{0, 10, 18, 22, 31, 42, 47, 70, 77, 96,110,111,113},
{0, 15, 21, 29, 41, 51, 54, 85, 89, 94, 96,112,113},
{0, 1, 3, 9, 33, 45, 61, 74, 88, 92, 99,109,114},
{0, 1, 3, 11, 28, 42, 49, 61, 79, 85,101,105,114},
{0, 1, 3, 12, 29, 34, 53, 66, 89, 96,104,110,114},
{0, 1, 3, 12, 30, 35, 49, 73, 89, 93, 99,106,114},
{0, 1, 3, 24, 37, 53, 70, 75, 84, 95,102,110,114},
{0, 1, 3, 29, 37, 53, 72, 83, 92, 97,104,110,114},
{0, 1, 3, 30, 37, 43, 53, 68, 88, 92,100,109,114},
{0, 1, 4, 12, 30, 36, 49, 64, 74, 91,105,107,114},
{0, 1, 4, 13, 19, 30, 58, 63, 83, 90,104,106,114},
{0, 1, 4, 13, 19, 30, 58, 66, 68, 82, 89,109,114},
{0, 1, 4, 15, 27, 36, 44, 60, 66, 94,107,112,114},
{0, 1, 4, 19, 41, 50, 70, 76, 84, 86, 97,109,114},
{0, 1, 5, 17, 36, 62, 65, 76, 86, 99,106,108,114},
{0, 1, 6, 13, 31, 35, 46, 67, 87, 90,104,106,114},
{0, 1, 6, 14, 25, 46, 48, 58, 76, 85,107,111,114},
{0, 1, 6, 14, 35, 45, 62, 65, 77, 81,103,105,114},
{0, 1, 6, 16, 18, 42, 51, 55, 82, 89,103,111,114},
{0, 1, 7, 10, 30, 41, 45, 63, 87, 95,100,112,114},
{0, 1, 7, 11, 30, 39, 55, 79, 92, 97,100,112,114},
{0, 1, 7, 19, 21, 36, 59, 64, 68, 90, 98,101,114},
{0, 1, 8, 14, 41, 45, 63, 79, 88, 99,109,111,114},
{0, 1, 8, 22, 31, 41, 59, 65, 85, 97,101,112,114},
{0, 1, 8, 28, 42, 53, 58, 79, 82, 91, 97,101,114},
{0, 1, 8, 33, 37, 53, 71, 88, 93, 99,102,112,114},
{0, 1, 9, 11, 15, 39, 46, 59, 71, 88, 93,111,114},
{0, 1, 9, 12, 16, 45, 47, 66, 72, 86, 96,109,114},
{0, 1, 9, 12, 22, 27, 41, 61, 77, 84,108,112,114},
{0, 1, 9, 14, 39, 42, 60, 71, 91, 95, 97,107,114},
{0, 1, 9, 16, 28, 54, 68, 72, 78, 89,109,111,114},
{0, 1, 9, 26, 37, 49, 76, 79, 81, 94,100,110,114},
{0, 1, 10, 17, 30, 32, 67, 70, 91, 95,103,109,114},
{0, 1, 11, 16, 34, 36, 55, 63, 77,101,105,108,114},
{0, 1, 11, 19, 26, 42, 46, 48, 76, 97,100,109,114},
{0, 1, 11, 24, 26, 31, 58, 74, 93, 96,102,110,114},
{0, 1, 11, 30, 46, 48, 61, 82, 88,102,105,110,114},
{0, 1, 12, 14, 22, 41, 59, 75, 84, 90,107,110,114},
{0, 1, 12, 18, 21, 44, 48, 58, 83, 99,107,112,114},
{0, 1, 15, 21, 39, 43, 52, 68, 79,102,109,112,114},
{0, 1, 17, 28, 38, 41, 60, 64, 94, 99,106,108,114},
{0, 1, 20, 31, 37, 58, 66, 82, 92,105,107,110,114},
{0, 2, 3, 9, 22, 30, 54, 66, 71, 89,100,104,114},
{0, 2, 3, 12, 20, 39, 45, 52, 68, 73, 99,103,114},
{0, 2, 3, 13, 28, 46, 62, 66, 85, 93,102,107,114},
{0, 2, 3, 14, 29, 36, 45, 66, 86, 91,104,110,114},
{0, 2, 3, 15, 21, 29, 52, 59, 69, 94,105,110,114},
{0, 2, 3, 16, 25, 45, 63, 75, 82, 99,103,109,114},
{0, 2, 3, 16, 39, 47, 59, 81, 88, 99,105,109,114},
{0, 2, 3, 21, 30, 55, 63, 78, 92, 98,102,109,114},
{0, 2, 5, 9, 22, 30, 40, 46, 69, 88,102,103,114},
{0, 2, 5, 12, 35, 46, 62, 71, 75, 93, 99,113,114},
{0, 2, 5, 12, 40, 51, 67, 71, 84, 85, 93,108,114},
{0, 2, 5, 14, 24, 25, 32, 60, 66, 81, 97,110,114},
{0, 2, 5, 19, 25, 43, 54, 70, 80,101,102,110,114},
{0, 2, 6, 7, 22, 35, 47, 61, 84, 93,103,111,114},
{0, 2, 6, 17, 22, 40, 47, 50, 79, 93,105,106,114},
{0, 2, 6, 18, 33, 59, 68, 69, 82, 89,106,111,114},
{0, 2, 6, 21, 24, 56, 63, 73, 89,100,101,109,114},
{0, 2, 6, 30, 37, 53, 73, 87, 92,102,105,113,114},
{0, 2, 7, 13, 27, 35, 44, 45, 74, 95, 98,110,114},
{0, 2, 7, 15, 31, 56, 66, 70, 93, 96,102,113,114},
{0, 2, 7, 20, 48, 54, 70, 78, 87, 99,110,113,114},
{0, 2, 8, 21, 24, 28, 59, 70, 82, 99,100,109,114},
{0, 2, 9, 30, 38, 54, 64, 79, 91, 97,110,111,114},
{0, 2, 10, 23, 27, 28, 60, 66, 80, 95,102,111,114},
{0, 2, 12, 15, 21, 26, 43, 61, 77, 81,106,113,114},
{0, 2, 13, 17, 29, 49, 55, 73, 83, 92,106,113,114},
{0, 2, 14, 17, 22, 35, 59, 75, 84,103,107,113,114},
{0, 2, 14, 19, 27, 51, 69, 73, 84,104,107,113,114},
{0, 3, 4, 15, 21, 40, 53, 63, 79, 87,107,109,114},
{0, 3, 4, 16, 26, 31, 56, 64, 73, 75, 93,107,114},
{0, 3, 4, 17, 23, 35, 50, 60, 76, 84,105,112,114},
{0, 3, 4, 17, 36, 38, 46, 64, 87, 94,103,109,114},
{0, 3, 5, 15, 26, 35, 51, 69, 73,100,106,113,114},
{0, 3, 5, 25, 36, 42, 46, 60, 86, 98,105,113,114},
{0, 3, 7, 18, 20, 39, 51, 61, 77, 85, 86, 91,114},
{0, 3, 7, 29, 38, 56, 66, 68, 89,100,108,113,114},
{0, 3, 8, 20, 45, 46, 56, 79, 86, 95,108,110,114},
{0, 3, 8, 25, 32, 45, 46, 55, 81, 96,108,112,114},
{0, 3, 11, 21, 30, 53, 67, 79, 92,107,108,112,114},
{0, 3, 11, 25, 32, 59, 63, 72, 96, 98,108,113,114},
{0, 3, 12, 19, 34, 48, 54, 86, 87, 91,104,112,114},
{0, 3, 13, 20, 21, 32, 47, 72, 77, 86,108,110,114},
{0, 3, 17, 18, 28, 40, 48, 67, 72,101,108,110,114},
{0, 3, 19, 30, 39, 51, 73, 77, 91,101,106,108,114},
{0, 3, 21, 26, 43, 55, 68, 75, 99,103,105,113,114},
{0, 4, 5, 19, 21, 29, 47, 69, 78, 81,101,108,114},
{0, 4, 6, 13, 42, 47, 66, 74, 86, 96, 97,111,114},
{0, 4, 6, 18, 25, 40, 71, 72, 81, 98,101,109,114},
{0, 4, 6, 19, 28, 35, 58, 68, 69, 94,106,111,114},
{0, 4, 6, 28, 37, 42, 67, 82, 93, 94,101,111,114},
{0, 4, 7, 9, 22, 32, 48, 56, 77, 83, 94,113,114},
{0, 4, 7, 24, 30, 39, 55, 73, 92,100,102,113,114},
{0, 4, 9, 12, 26, 32, 53, 66, 68, 84,103,113,114},
{0, 4, 9, 20, 45, 55, 62, 85, 93, 99,111,112,114},
{0, 4, 10, 17, 22, 31, 42, 61, 77, 85,111,113,114},
{0, 4, 10, 18, 25, 48, 61, 80, 85,102,111,113,114},
{0, 4, 10, 23, 28, 48, 69, 78, 85,100,111,112,114},
{0, 4, 12, 13, 34, 44, 60, 71, 89, 95,109,112,114},
{0, 4, 12, 18, 21, 40, 56, 83, 88, 90,103,113,114},
{0, 4, 12, 19, 30, 39, 44, 61, 77, 90,111,113,114},
{0, 4, 14, 20, 33, 35, 38, 65, 77, 88,105,113,114},
{0, 4, 16, 19, 40, 69, 70, 79, 87,101,107,112,114},
{0, 4, 17, 33, 48, 54, 82, 89, 90,100,109,112,114},
{0, 5, 6, 18, 28, 44, 63, 65, 90, 94, 97,105,114},
{0, 5, 6, 25, 36, 40, 43, 52, 69, 91, 93,101,114},
{0, 5, 7, 27, 35, 51, 61, 74, 93, 99,110,111,114},
{0, 5, 9, 15, 26, 33, 55, 67, 75, 98,111,112,114},
{0, 5, 11, 15, 32, 39, 51, 69, 89, 98,111,112,114},
{0, 5, 11, 19, 23, 44, 47, 82, 84, 97,104,113,114},
{0, 5, 11, 20, 27, 50, 68, 76, 78, 97,110,111,114},
{0, 5, 12, 16, 22, 36, 51, 59, 84, 93,111,112,114},
{0, 5, 13, 14, 25, 41, 51, 58, 90, 93,108,112,114},
{0, 5, 13, 16, 33, 42, 43, 74, 89, 96,108,110,114},
{0, 5, 14, 15, 32, 44, 55, 86, 90, 93,106,112,114},
{0, 5, 14, 17, 38, 66, 68, 72, 88, 95,103,113,114},
{0, 5, 14, 22, 26, 46, 61, 71, 77, 84,111,113,114},
{0, 5, 15, 22, 26, 40, 53, 69, 81,105,111,113,114},
{0, 5, 17, 28, 30, 38, 44, 64, 73, 95,110,113,114},
{0, 5, 18, 28, 42, 48, 67, 69, 98,102,105,113,114},
{0, 5, 25, 32, 46, 48, 56, 84, 95,101,110,113,114},
{0, 6, 8, 13, 23, 37, 41, 63, 75, 84, 95,111,114},
{0, 6, 8, 15, 20, 50, 54, 73, 76, 86, 97,113,114},
{0, 6, 8, 15, 28, 38, 49, 52, 78, 97,109,113,114},
{0, 6, 9, 13, 37, 51, 59, 78, 80, 98,103,113,114},
{0, 6, 13, 33, 36, 45, 67, 85, 93, 95,109,110,114},
{0, 6, 21, 29, 30, 43, 47, 63, 74,102,109,112,114},
{0, 7, 9, 23, 40, 50, 65, 78, 84,102,110,113,114},
{0, 7, 12, 21, 29, 48, 52, 68, 86,101,111,112,114},
{0, 7, 17, 19, 23, 43, 54, 72, 75,100,105,113,114},
{0, 7, 21, 39, 41, 50, 58, 83, 88, 98,110,111,114},
{0, 8, 9, 21, 35, 64, 67, 74, 92, 97,108,112,114},
{0, 8, 10, 24, 27, 47, 68, 79, 83,101,108,113,114},
{0, 8, 10, 24, 31, 51, 56, 84, 95,101,110,113,114},
{0, 8, 15, 21, 25, 41, 65, 79, 84,102,111,113,114},
{0, 9, 11, 33, 37, 49, 52, 69, 79,100,108,113,114},
{0, 9, 13, 29, 35, 53, 65, 72, 86,103,111,113,114},
{0, 9, 17, 20, 24, 49, 51, 70, 86, 96,108,109,114},
{0, 10, 14, 25, 43, 48, 60, 84, 92,105,111,112,114},
{0, 11, 12, 26, 45, 68, 74, 84, 92,105,109,112,114},
{0, 11, 15, 41, 46, 62, 69, 75, 94,102,111,112,114},
{0, 13, 16, 24, 46, 50, 55, 78, 93, 95,107,113,114},
{0, 13, 17, 23, 32, 35, 56, 61, 72, 86,106,113,114},
{0, 13, 21, 23, 45, 62, 71, 74, 78, 89,108,109,114},
{0, 23, 28, 29, 37, 53, 63, 75, 94, 96,107,111,114},
},