length n = 111
dimension k = 4
alphabet length q = 4

minimum distance d = 82

generator matrix:
000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
011111111111111110000000000000000123123123123123123123123123123123123123123123123123123123123123123123123123123
100001231231231230000123123123123000000000000000132132132132132132132213213213213213213213321321321321321321321
201230001232313120123000123231312132132213213321000132132213213321321000000132132213321321000000132132213321321

projective group of automorphisms generated by:
1000
0300
0020
0002