length n = 22
dimension k = 4
alphabet length q = 3

minimum distance d = 13

generator matrix:
0001110001111111111111
0110011110001122221122
1010101221220200121212
1101002122122012002112

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100