length n = 32
dimension k = 5
alphabet length q = 2

minimum distance d = 16

generator matrix:
00001000010000111111000011111111
00010000100111000111011100011111
00100001001011011001101101100111
01000010001101101010110110101011
10000100001110110100111011010011

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000