length n = 68
dimension k = 6
alphabet length q = 3

minimum distance d = 42

generator matrix:
00000000000000011111111111111101111100000111111111111111111111111111
00000011111111100000000011222210111111111000001111111122222222222211
00011100011222200011222200000011011111122111220002222200111112222211
11112212200000000002001202001211101122212122221220112222011220001111
12221200002001212200000020120011110112222222122121021211202001120211
21200021220120021220120000000011111021211212112222200012120121212011

projective group of automorphisms generated by:
100000
001000
000010
000001
000100
010000

001000
000100
000001
100000
000010
010000