length n = 25
dimension k = 4
alphabet length q = 3

minimum distance d = 16

generator matrix:
1111111111111111111111111
0010020110011220221121222
0100201011202012021212122
1002001102120102202112212

projective group of automorphisms generated by:
1000
0001
0100
0010

2000
0020
0200
0002