length n = 127
dimension k = 4
alphabet length q = 3

minimum distance d = 84

generator matrix:
0000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0000000000001111111111111111111111111111100000000000000000000000000001111111111111111111111111111122222222222222222222222222222
0110110110110000012012012012012012111122200000120120120120120121112220000120120120120120121111222200000120120120120120121111222
1011011011010000102102102210210210222211100001021021022102102102221110001021021022102102102222111100001021021022102102102222111

projective group of automorphisms generated by:
2000
0200
0012
0010