length n = 228
dimension k = 4
alphabet length q = 3

minimum distance d = 153

generator matrix:
000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000111000111000111000111000111000111000111111111111111111111111111000000000222000222000222000222000222000222000111000111000111000111000111000111000000000000111222111222111222111222111222111222111111111111111111222222222222222222
011012011012011012011012011012011012111012012012000000121212121212000000012012012012012012012012012012012012012012012012012012012012012012012012121212121212012012012012012012012012012012012012000000121212121212000000121212121212
112000112000112000112000112000112000000111111111222222222222222222000000111000111000111000111000111000111000222000222000222000222000222000222000000000000000111222111222111222111222111222111222222222222222222222111111111111111111

projective group of automorphisms generated by:
2000
0001
0212
0100