length n = 79
dimension k = 4
alphabet length q = 3

minimum distance d = 53

generator matrix:
0000000000000000000000000111111111111111111111111111111111111111111111111111111
0001110001110111111111111000002220002220001110001110000111222111222111111222222
0110120110121012012001212000120120120120120120120121212012012012012001212001212
1120001120000111111222222001110001110002220002220000000111222111222222222111111

projective group of automorphisms generated by:
2000
0001
0212
0100