length n = 222
dimension k = 3
alphabet length q = 4

minimum distance d = 168

generator matrix:
010101010101010101010101000000000101010101010101010101010101010101010101010101010101010101010101010111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000000000000000000111111111111111111111111111111111313131313131313131313121212121212121212121200000000000000000000000000000011111111131313131313131313131312121212121212121212122222222222323232323232323232323333333333
101010101010101010101010000000001010101010101010101010102020202020202020202020303030303030303030303011111111232323232323232323232311111111232323232323232323232332323232323232323232321111111113232323232323232323232111111111

projective group of automorphisms generated by:
001
010
100

100
010
001