length n = 87
dimension k = 4
alphabet length q = 3

minimum distance d = 57

generator matrix:
000000000000000000000000001111111111111111111111111111111111111111111111111111111111111
000000111111111111111111110000000000000000000111111111111111111111112222222222222222222
011011000012012012012111220001201201201211122000012012012012012111220000120120120121122
101101000102102210210222110010210221021022211000102102102210210222110001021022102102211

projective group of automorphisms generated by:
2000
0200
0012
0010