length n = 214
dimension k = 15
alphabet length q = 2

minimum distance d = 40

generator matrix:
0000000000000010000000000000010000000000000010000000000000010000000000000010000000000000010000000000000010000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0000000000000100000000000000100000000000000100000000000000100000000000000100000000000000100000000000000100111111111111100000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111
0000000000001000000000000001000000000000001000000000000001000000000000001000000000000001000000000000001001011111111111101111111111110000000000001111111111111111111111111111111111111111111111111111111111111111111111
0000000000010000000000000010000000000000010000000000000010000000000000010000000000000010000000000000010001101111111111110111111111110111111111110000000000011111111111111111111111111111111111111111111111111111111111
0000000000100000000000000100000000000000100000000000000100000000000000100000000000000100000000000000100001110111111111111011111111111011111111110111111111100000000001111111111111111111111111111111111111111111111111
0000000001000000000000001000000000000001000000000000001000000000000001000000000000001000000000000001000001111011111111111101111111111101111111111011111111101111111110000000001111111111111111111111111111111111111111
0000000010000000000000010000000000000010000000000000010000000000000010000000000000010000000000000010000001111101111111111110111111111110111111111101111111110111111110111111110000000011111111111111111111111111111111
0000000100000000000000100000000000000100000000000000100000000000000100000000000000100000000000000100000001111110111111111111011111111111011111111110111111111011111111011111110111111100000001111111111111111111111111
0000001000000000000001000000000000001000000000000001000000000000001000000000000001000000000000001000000001111111011111111111101111111111101111111111011111111101111111101111111011111101111110000001111111111111111111
0000010000000000000010000000000000010000000000000010000000000000010000000000000010000000000000010000000001111111101111111111110111111111110111111111101111111110111111110111111101111110111110111110000011111111111111
0000100000000000000100000000000000100000000000000100000000000000100000000000000100000000000000100000000001111111110111111111111011111111111011111111110111111111011111111011111110111111011111011110111100001111111111
0001000000000000001000000000000001000000000000001000000000000001000000000000001000000000000001000000000001111111111011111111111101111111111101111111111011111111101111111101111111011111101111101111011101110001111111
0010000000000000010000000000000010000000000000010000000000000010000000000000010000000000000010000000000001111111111101111111111110111111111110111111111101111111110111111110111111101111110111110111101110110110011111
0100000000000000100000000000000100000000000000100000000000000100000000000000100000000000000100000000000001111111111110111111111111011111111111011111111110111111111011111111011111110111111011111011110111011010101111
1000000000000001000000000000001000000000000001000000000000001000000000000001000000000000001000000000000001111111111111011111111111101111111111101111111111011111111101111111101111111011111101111101111011101101001111

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