length n = 10
dimension k = 7
alphabet length q = 3

minimum distance d = 2

generator matrix:
0000011111
0011100011
0001201201
0022001112
0021212100
0121221222
1112112111

projective group of automorphisms generated by:
1210000
1020000
1220000
0002200
0002000
0000010
0000001