length n = 40
dimension k = 4
alphabet length q = 2

minimum distance d = 20

generator matrix:
0001000100010001000101110111011101110111
0010001000100010001010111011101110111011
0100010001000100010011011101110111011101
1000100010001000100011101110111011101110

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001