length n = 21
dimension k = 7
alphabet length q = 7

minimum distance d = 6

generator matrix:
111111111111111111111
111112411111351111135
111121411113151111531
111211411131151115131
112111411311151151131
121111413111151511131
211111431111155111131

projective group of automorphisms generated by:
0000001
1000000
0100000
0010000
0001000
0000100
0000010

0100000
1000000
0010000
0001000
0000100
0000010
0000001