length n = 227
dimension k = 4
alphabet length q = 3

minimum distance d = 153

generator matrix:
00000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
00000001101101101101100111100111100111100111100111100111111111111111111111000000000000000000120120120120120011220011220011220011220011220011220120120120120120011220011220011220011220011220011221111111111111111122222222222222222
00000011211211211211211112211112211112211112211112211112200000000000000000000000000000000001111111111111111111111111111111111111111111111111112222222222222222222222222222222222222222222222222220000000000000000000000000000000000
11111100000000000000012121212121212121212121212121212121200000121212121212000001212121212120000000000000001212121212121212121212121212121212120000000000000001212121212121212121212121212121212120000012121212121200000121212121212

projective group of automorphisms generated by:
2000
0210
0020
0001