length n = 22
dimension k = 5
alphabet length q = 3

minimum distance d = 12

generator matrix:
0010110001101111111111
0000001111212200011222
1121120111212200002110
0202020012020112212121
2001200020221021212211

projective group of automorphisms generated by:
10000
01000
00100
00010
00001

00001
01000
00100
10000
00010