length n = 178
dimension k = 3
alphabet length q = 4

minimum distance d = 135

generator matrix:
0101010101010101010000000010101010101010101010101010101010101010101010101010101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0000000000000000001111111111111111111111111131313131313131313121212121212121212000000000000000000000000111111113131313131313131312121212121212121222222222323232323232323233333333
1010101010101010100000000101010101010101010202020202020202020303030303030303030111111232323232323232323111111123232323232323232332323232323232323211111113232323232323232321111111

projective group of automorphisms generated by:
001
010
100

100
010
001