length n = 78
dimension k = 4
alphabet length q = 3

minimum distance d = 52

generator matrix:
000000000000000000000000111111111111111111111111111111111111111111111111111111
000000111111111111111111000000000000000000111111111111111111222222222222222222
011011000120120120121122000120120120121122000120120120121122000120120120121122
101101001021022102102211001021022102102211001021022102102211001021022102102211

projective group of automorphisms generated by:
2000
0200
0012
0010