length n = 222
dimension k = 4
alphabet length q = 3

minimum distance d = 149

generator matrix:
000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000110110110110011110011110011110011110011110011111111111111111111000000000000000000120120120120120011220011220011220011220011220011220120120120120120011220011220011220011220011220011221111111111111111122222222222222222
000001121121121121111221111221111221111221111221111220000000000000000000000000000000001111111111111111111111111111111111111111111111111112222222222222222222222222222222222222222222222222220000000000000000000000000000000000
111110000000000001212121212121212121212121212121212120000121212121212000001212121212120000000000000001212121212121212121212121212121212120000000000000001212121212121212121212121212121212120000012121212121200000121212121212

projective group of automorphisms generated by:
2000
0210
0020
0001