length n = 237
dimension k = 5
alphabet length q = 3

minimum distance d = 158

generator matrix:
000001111111110000111111111000011111111100001111111110000111111111000011111111100000011111110000001111111000000111111100000011111110000001111111000000111111100011111111110001111111111000111111111100011111111110001111111111000111111111111
001110001112220111000111222011100011122201110001112220111000111222011100011122200011100011120001110001112000111000111200011100011120001110001112000111000111211100011122221110001112222111000111222211100011122221110001112222111000111222222
000001111111110000111111111000011111111100001111111110000111111111000011111111111112200202201111220020220111122002022011112200202201111220020220111122002022011202200202221120220020222112022002022211202200202221120220020222112022002022200
010120120120121012012012012101201201201210120120120121012012012012101201201201201220202001200122020200120012202020012001220202001200122020200120012202020012001111212010120111121201012011112120101201111212010120111121201012011112120101222
100000000000000000000000000111212121222211121212122222221212121111222121212111100000000000000000000000000111122221211211112222121122222111121221222211112122100000000000000000000000000112211221211111221122121112211221121222221122112122212

projective group of automorphisms generated by:
00220
11010
20020
01100
00001