length n = 112
dimension k = 5
alphabet length q = 2

minimum distance d = 56

generator matrix:
0010010010010000000000001100001100001100001101100111100111100111100111100000100100100101101101111111111111111111
0000000000000101010100110100110100110100110100001001101001101001101001111111111111111111111111100000101010111111
0100100100100000000001010001010001010001010010111010111010111010111010100001001001001010110110111111111111111111
0000000000001010101011001011001011001011001000010110010110010110010110011111111111111111111111100001010101011111
1001001001000000000010100010100010100010100011011101011101011101011101000010010010010011011011011111111111111111

projective group of automorphisms generated by:
10000
00010
00100
01000
00001

00100
00010
00001
01000
10000