length n = 32
dimension k = 4
alphabet length q = 2

minimum distance d = 16

generator matrix:
00010001000100010111011101110111
00100010001000101011101110111011
01000100010001001101110111011101
10001000100010001110111011101110

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001