length n = 22
dimension k = 4
alphabet length q = 5

minimum distance d = 16

generator matrix:
0001111111111111111111
1110001122331144223344
1231230201031414342423
2132132010304114434232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001