length n = 22
dimension k = 9
alphabet length q = 3

minimum distance d = 6

generator matrix:
0000000111111111111111
0001111000011111111122
0110011001100111111212
1010101010101011112112
0111100110000111121112
1101001011010011211112
1100110100110012111112
1111111111111122222221
1011010101001021111112

projective group of automorphisms generated by:
000100000
000000100
000000001
010000000
000001000
001000000
100000000
000000010
000010000

001000000
000001000
010000000
000010000
000100000
000000001
100000000
000000010
000000100