length n = 112
dimension k = 14
alphabet length q = 2

minimum distance d = 16

generator matrix:
0000000000000100000000000001000000000000010000000000000101111111111111011111111111110111111111111101111111111111
0000000000001000000000000010000000000000100000000000001010111111111111101111111111111011111111111110111111111111
0000000000010000000000000100000000000001000000000000010011011111111111110111111111111101111111111111011111111111
0000000000100000000000001000000000000010000000000000100011101111111111111011111111111110111111111111101111111111
0000000001000000000000010000000000000100000000000001000011110111111111111101111111111111011111111111110111111111
0000000010000000000000100000000000001000000000000010000011111011111111111110111111111111101111111111111011111111
0000000100000000000001000000000000010000000000000100000011111101111111111111011111111111110111111111111101111111
0000001000000000000010000000000000100000000000001000000011111110111111111111101111111111111011111111111110111111
0000010000000000000100000000000001000000000000010000000011111111011111111111110111111111111101111111111111011111
0000100000000000001000000000000010000000000000100000000011111111101111111111111011111111111110111111111111101111
0001000000000000010000000000000100000000000001000000000011111111110111111111111101111111111111011111111111110111
0010000000000000100000000000001000000000000010000000000011111111111011111111111110111111111111101111111111111011
0100000000000001000000000000010000000000000100000000000011111111111101111111111111011111111111110111111111111101
1000000000000010000000000000100000000000001000000000000011111111111110111111111111101111111111111011111111111110

projective group of automorphisms generated by:
00000000000001
10000000000000
01000000000000
00100000000000
00010000000000
00001000000000
00000100000000
00000010000000
00000001000000
00000000100000
00000000010000
00000000001000
00000000000100
00000000000010

01000000000000
10000000000000
00100000000000
00010000000000
00001000000000
00000100000000
00000010000000
00000001000000
00000000100000
00000000010000
00000000001000
00000000000100
00000000000010
00000000000001