length n = 49
dimension k = 5
alphabet length q = 2

minimum distance d = 24

generator matrix:
0000100001000000111100001111110000111111011111111
0001000010000111000101110001110111000111101111111
0010000100011001001010110110011011011001110111111
0100001000101010010011011010101101101010111011111
1000010000110100100011101101001110110100111101111

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000