length n = 37
dimension k = 5
alphabet length q = 2

minimum distance d = 18

generator matrix:
0000100001000011111100001111110111111
0001000010011100011101110001111011111
0010000100101101100110110110011101111
0100001000110110101011011010101110111
1000010000111011010011101101001111011

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000