length n = 15
dimension k = 12
alphabet length q = 2

minimum distance d = 2

generator matrix:
000000111111111
000001011111111
000111111111101
000001101111111
001011111111101
000001110111111
000001111011111
000001111101111
010011111111101
000001111110111
000001111111011
100011111111101

projective group of automorphisms generated by:
000000100000
010000000000
000000001000
000001000000
000000000001
000000010000
000000000010
000100000000
001000000000
100000000000
000000000100
000010000000

000000000010
100000000000
000000000001
010000000000
001000000000
000001000000
000000010000
000100000000
000010000000
000000100000
000000000100
000000001000