length n = 22
dimension k = 8
alphabet length q = 3

minimum distance d = 8

generator matrix:
0000000000000011111111
0000110000111100000012
0011001111000000001200
1100000000112200120000
0000221122000000000012
2200001212000000120000
1212120000000012000000
0022000000121200001200

projective group of automorphisms generated by:
10000000
00100000
00010000
00001000
00000001
01000000
00000010
00000100

10000000
02000000
00100000
00010000
00002000
00000100
00000020
00000001