length n = 111
dimension k = 4
alphabet length q = 3

minimum distance d = 74

generator matrix:
000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111
000000000111111111111111111111111111000000000000000000000000111111111111111111111111222222222222222222222222222
011011011000012012012012012012111222000012012012012012111222000012012012012012111222000012012012012012012111222
101101101000102102102210210210222111000102102102210210222111000102102210210210222111000102102102210210210222111

projective group of automorphisms generated by:
2000
0200
0012
0010