length n = 124
dimension k = 3
alphabet length q = 4

minimum distance d = 94

generator matrix:
0101010101010000000101010101010101010101010101010101011111111111111111111111111111111111111111111111111111111111111111111111
0000000000001111111111111111111313131313131212121212120000000000000000111111131313131313121212121212222222232323232323333333
1010101010100000001010101010102020202020203030303030301111232323232323111111232323232323323232323232111111323232323232111111

projective group of automorphisms generated by:
001
010
100

100
010
001