length n = 68
dimension k = 3
alphabet length q = 4

minimum distance d = 51

generator matrix:
01010101000010101010101010101011111111111111111111111111111111111111
00000000111111111111313131212120000000011313131312121212222232323333
10101010000101010102020203030301123232312323232332323232111323232111

projective group of automorphisms generated by:
001
010
100

100
010
001