length n = 36
dimension k = 4
alphabet length q = 2

minimum distance d = 18

generator matrix:
000100010001000111011101110111011111
001000100010011001101110111011101111
010001000100101010110111011101110111
100010001000110100111011101110111011

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001