length n = 13
dimension k = 9
alphabet length q = 3

minimum distance d = 2

generator matrix:
0111111100111
0000000011001
1011111100111
1101111100111
1110111100111
1111011100111
1111101100111
1111110100111
1111111000111

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

000001000
010000000
000000100
000100000
000010000
100000000
000000001
000000010
001000000