length n = 137
dimension k = 9
alphabet length q = 3

minimum distance d = 76

generator matrix:
00000000000000000000000011111111111100000000000000000000111111111111111100000000000000001111111111111111111101111111111111111111111111111
00000000000000011111111100000000012200000000001111111111000000000011111100000011111111110000000000111122222210111222211111111122111111122
00000011111111100000000000000000021200000011110000111111000011111100000011111100000022220000002222111200001211022112211111111212111111212
00011100000012200000012200000012200000111100110011000011001100001100001100122200122200120011120022002000220112212120111111112112111112112
00012200012200000012200000012200000011001101011100000101010100110000010111001200212211001200220011020212000022120121211111121112111121112
11100000021200000000021212200000000001110110101100011000010101000101100012001122120000112122001100020200120022102212111111211112111211112
00021212200000012200000021200000000011110011000101001010101000011010010000212211001222002100221200200000112021212201211112111112112111112
12200000000021221200000000021200000010011111001010100100101011000000101022120012001100221222000012200011002021221022111121111112121111112
21200021200000000021200000000021200011101000110011110000110010100011000022210022210012000012112200002022000112221211011211111112211111112

projective group of automorphisms generated by:
000010000
000000001
010000000
100000000
000001000
000100000
000000100
001000000
000000010

001000000
100000000
010000000
000001000
000000010
000000100
000000001
000100000
000010000