length n = 10
dimension k = 9
alphabet length q = 2

minimum distance d = 2

generator matrix:
0000000011
0000000101
0000001001
0000010001
0000100001
0001000001
0010000001
0100000001
1000000001

projective group of automorphisms generated by:
000000001
100000000
010000000
001000000
000100000
000010000
000001000
000000100
000000010

010000000
100000000
001000000
000100000
000010000
000001000
000000100
000000010
000000001