length n = 14
dimension k = 8
alphabet length q = 2

minimum distance d = 4

generator matrix:
00000011111111
01111100011111
11000000110000
10001100000001
00111100000000
01010100000001
00111101000111
11111111111001

projective group of automorphisms generated by:
10000000
01100000
00100000
00000100
00001000
00011000
00000010
00000001