length n = 24
dimension k = 6
alphabet length q = 3

minimum distance d = 13

generator matrix:
000011001111011111111111
001100110122101111000011
111222022102020002012201
121211222121200121210201
001202202122202000022020
122012020211211001100001

projective group of automorphisms generated by:
002220
122222
112211
000222
212000
101100