length n = 125
dimension k = 5
alphabet length q = 2

minimum distance d = 64

generator matrix:
00100100100100100000000000011000011000011000011011011011001111001111001111001111000001001001001001011011011111111111111111111
00000000000000001010101001101001101001101001101000000000010011010011010011010011111111111111111111111111111000000101010111111
01001001001001000000000010100010100010100010100101101101110101110101110101110101000010010010010010101101101111111111111111111
00000000000000010101010110010110010110010110010000000000101100101100101100101100111111111111111111111111111000001010101011111
10010010010010000000000101000101000101000101000110110110111010111010111010111010000100100100100100110110110111111111111111111

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

00100
00010
00001
01000
10000