length n = 214
dimension k = 4
alphabet length q = 3

minimum distance d = 144

generator matrix:
0000001101101101100111100111100111100111100111101101101101101100111100111100111100111100111100111100100100100100100001100001100001100001100001100001111111111111111111111111111111111111111111111111111111111111111111
0000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111211211211211211112211112211112211112211112211112200000000000000122122122122122112222112222112222112222112222112222
0000010110110110111001111001111001111001111001100100100100100100001100001100001100001100001100001112212212212212211222211222211222211222211222211222222222222222222201201201201201220011220011220011220011220011220011
1111100000000000012121212121212121212121212121200000000000000012121212121212121212121212121212121200000000000000012121212121212121212121212121212121200001212121212000000000000000121212121212121212121212121212121212

projective group of automorphisms generated by:
1220
0200
1200
0001