length n = 13
dimension k = 7
alphabet length q = 2

minimum distance d = 4

generator matrix:
0000010000111
0000100011001
0001000100011
0010001001001
0100001010001
0000001111111
1000000100101

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

0000100
1000000
0100000
0010000
0000001
0000010
0001000