length n = 54
dimension k = 3
alphabet length q = 4

minimum distance d = 40

generator matrix:
010101000101010101010101011111111111111111111111111111
000000111111111313131212120000000111131312122222323333
101010001010102020203030301232323111232332321113232111

projective group of automorphisms generated by:
001
010
100

100
010
001