length n = 128
dimension k = 15
alphabet length q = 2

minimum distance d = 28

generator matrix:
00000000000000100000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
00000000000001001111111111111000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111111111
00000000000010010111111111111011111111111100000000000011111111111111111111111111111111111111111111111111111111111111111111111111
00000000000100011011111111111101111111111101111111111100000000000111111111111111111111111111111111111111111111111111111111111111
00000000001000011101111111111110111111111110111111111101111111111000000000011111111111111111111111111111111111111111111111111111
00000000010000011110111111111111011111111111011111111110111111111011111111100000000011111111111111111111111111111111111111111111
00000000100000011111011111111111101111111111101111111111011111111101111111101111111100000000111111111111111111111111111111111111
00000001000000011111101111111111110111111111110111111111101111111110111111110111111101111111000000011111111111111111111111111111
00000010000000011111110111111111111011111111111011111111110111111111011111111011111110111111011111100000011111111111111111111111
00000100000000011111111011111111111101111111111101111111111011111111101111111101111111011111101111101111100000111111111111111111
00001000000000011111111101111111111110111111111110111111111101111111110111111110111111101111110111110111101111000011111111111111
00010000000000011111111110111111111111011111111111011111111110111111111011111111011111110111111011111011110111011100011111111111
00100000000000011111111111011111111111101111111111101111111111011111111101111111101111111011111101111101111011101101100111111111
01000000000000011111111111101111111111110111111111110111111111101111111110111111110111111101111110111110111101110110101011111111
10000000000000011111111111110111111111111011111111111011111111110111111111011111111011111110111111011111011110111011010011111111

projective group of automorphisms generated by:
000000000000001
100000000000000
010000000000000
001000000000000
000100000000000
000010000000000
000001000000000
000000100000000
000000010000000
000000001000000
000000000100000
000000000010000
000000000001000
000000000000100
000000000000010

010000000000000
100000000000000
001000000000000
000100000000000
000010000000000
000001000000000
000000100000000
000000010000000
000000001000000
000000000100000
000000000010000
000000000001000
000000000000100
000000000000010
000000000000001