length n = 61
dimension k = 3
alphabet length q = 4

minimum distance d = 46

generator matrix:
0101010000101010101010101011111111111111111111111111111111111
0000001111111111313131212120000000111131313121212222232323333
1010100001010102020203030301232323111232323323232111323232111

projective group of automorphisms generated by:
001
010
100

100
010
001