length n = 22
dimension k = 4
alphabet length q = 7

minimum distance d = 16

generator matrix:
0001011111111111111111
0010101512361255162345
0100530532455335666116
1000513046153314612435

projective group of automorphisms generated by:
0100
0010
0001
1000

0010
0001
1000
0100