length n = 22
dimension k = 4
alphabet length q = 2

minimum distance d = 11

generator matrix:
0001000100011101110111
0010001001100110111011
0100010010101011011101
1000100011010011101110

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001