length n = 106
dimension k = 5
alphabet length q = 2

minimum distance d = 54

generator matrix:
0010010010010000000000110000110000110000110110110011110011110011110000010010010010110110111111111111111111
0000000000000101010011010011010011010011010000000100110100110100111111111111111111111111110000010101011111
0100100100100000000101000101000101000101001011011101011101011101010000100100100101011011011111111111111111
0000000000001010101100101100101100101100100000001011001011001011001111111111111111111111110000101010101111
1001001001000000001010001010001010001010001101101110101110101110100001001001001001101101101111111111111111

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

00100
00010
00001
01000
10000