length n = 10
dimension k = 7
alphabet length q = 4

minimum distance d = 2

generator matrix:
0011111111
0101111111
0110111111
0111011111
0111101111
0111110111
1000000223

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

0001000
0000010
0010000
0000100
0100000
1000000
0000001