length n = 75
dimension k = 3
alphabet length q = 4

minimum distance d = 56

generator matrix:
000000000000000000111111111111111111111111111111111111111111111111111111111
000111111111111111000000000000000111111111111122222222222222233333333333333
111000011112222333000011122223333000111222233300001111222233300011112223333

projective group of automorphisms generated by:
100
010
001

100
010
001