length n = 247
dimension k = 4
alphabet length q = 3

minimum distance d = 165

generator matrix:
0000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0001110001110001110001110001110001110001110011111111111111111111111111111111111000000000222000222000222000222000222000222000111000111000111000111000111000111000000000000001112221112221112221112221112221112221111111111111111111122222222222222222222
0110120110120110120110120110120110120110121101201201201201200000012121212121212000000012012012012012012012012012012012012012012012012012012012012012012012012121212121212120120120120120120120120120120120120120000001212121212121200000012121212121212
1120001120001120001120001120001120001120000011111111111111122222222222222222222000000111000111000111000111000111000111000222000222000222000222000222000222000000000000000001112221112221112221112221112221112222222222222222222222211111111111111111111

projective group of automorphisms generated by:
2000
0001
0212
0100