length n = 50
dimension k = 5
alphabet length q = 2

minimum distance d = 24

generator matrix:
00001000010000100001111110000111111000011111111111
00010000100001001110001110111000111011100011111111
00100001000010010110110011011011001101101100111111
01000010000100011011010101101101010110110101011111
10000100001000011101101001110110100111011010011111

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000