length n = 23
dimension k = 6
alphabet length q = 3

minimum distance d = 12

generator matrix:
00000111111011111111111
00111000122101111111122
01012012200110111111212
02120202001111011112112
11221221212000000222221
02202120020111101121112

projective group of automorphisms generated by:
010000
001000
000100
100000
000010
000001

010000
000100
000001
001000
000010
100000