length n = 42
dimension k = 5
alphabet length q = 3

minimum distance d = 26

generator matrix:
000110001100111001110111101111011111111111
011000110001012110021011110112101221111122
100011000212002021201101112120212021112222
101002020020120122001110122011122101121211
010100202022200200121111012201220211122212

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

00100
00001
00010
01000
10000