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

minimum distance d = 14

generator matrix:
0001000111111111111111
0100111123000123112233
0010123000222111121212
0000132321123132211332
1000333123321000311223

projective group of automorphisms generated by:
00100
00003
20000
00020
02000