length n = 49
dimension k = 4
alphabet length q = 2

minimum distance d = 25

generator matrix:
0001000100010001110001110001110111011101110111111
0010001000100110010110010110011011101110111011111
0100010001001010101010101010101101110111011101111
1000100010001101001101001101001110111011101110111

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001