length n = 38
dimension k = 5
alphabet length q = 2

minimum distance d = 18

generator matrix:
00001000010000100001111110000111111111
00010000100001001110001110111000111111
00100001000010010110110011011011001111
01000010000100011011010101101101010111
10000100001000011101101001110110100111

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000