length n = 216
dimension k = 5
alphabet length q = 4

minimum distance d = 160

generator matrix:
000000000000111111110000111111000000000000111111111111111111000000000000111111111111111111000011111111111111110000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000111111000000230111000111000111111111000000000111222333000111111111000000000111222333111100001111112223331111111111110000000000001111112222222222222223333333333333331111231111222333111111222222222222333333333333
001111000023000023001011011001111000112233000112233002001003111000112233000112233003002001112311230011330220111122222333331122222333330022330000011223333330000011222222331113211233122113222333111222333333111222222333
110023002300002300001101101010123123020103123020103020010030123123030201123030201030020010132113211303012021012312333122232312333122232303021233303030001231222302000123021131213213212131233223233133112233223112233122
232300230000230000001110110100213213201030213201030200100300321321302010321302010300200100312131213130102201103233123212323233123212323230203312330301230002123220123000201311213231221311323232323313231312232231312212

projective group of automorphisms generated by:
10000
01000
00010
00001
00100

00010
10000
00100
00001
01000