length n = 238
dimension k = 5
alphabet length q = 3

minimum distance d = 159

generator matrix:
0000011111111100001111111110000111111111000011111111100001111111110000111111111000000111111100000011111110000001111111000000111111100000011111110000001111111000111111111100011111111110001111111111000111111111100011111111110001111111111111
0011100011122201110001112220111000111222011100011122201110001112220111000111222000111000111200011100011120001110001112000111000111200011100011120001110001112111000111222211100011122221110001112222111000111222211100011122221110001112222222
0000011111111100001111111110000111111111000011111111100001111111110000111111111111122002022011112200202201111220020220111122002022011112200202201111220020220112022002022211202200202221120220020222112022002022211202200202221120220020222000
0101201201201210120120120121012012012012101201201201210120120120121012012012012012202020012001220202001200122020200120012202020012001220202001200122020200120011112120101201111212010120111121201012011112120101201111212010120111121201012222
1000000000000000000000000001112121212222111212121222222212121211112221212121111000000000000000000000000001111222212112111122221211222221111212212222111121221000000000000000000000000001122112212111112211221211122112211212222211221121222012

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