length n = 108
dimension k = 3
alphabet length q = 4

minimum distance d = 81

generator matrix:
010101010101000001010101010101010101010101010111111111111111111111111111111111111111111111111111111111111111
000000000000111111111111111313131313121212121200000000000000111113131313131312121212121222222323232323233333
101010101010000010101010102020202020303030303011112323232323111123232323232332323232323211113232323232321111

projective group of automorphisms generated by:
001
010
100

100
010
001