length n = 131
dimension k = 6
alphabet length q = 3

minimum distance d = 83

generator matrix:
00000011110000000000001111111100001111110000000000001111111111111111110111100001111111111111111111111111111111111111111111111111111
00011100010000001111110000002201110001110001111111110000000001112222221011111110000111111222222111122111221112211112222221111222222
01100100100011110000220000220010110110011110001122220001122220020000121101111221122001122001122111212112121121212221112221222111222
10101001001100220022000022000011011010101221220200121220200120200012001110112121212120201120102112112121121211221221221122122122112
11010010002222002200002200000011101101002122122012002122012002001200001111021122112212010121020121112211122111222122121212212212121
11111111111212121212121212121222222222220000000000000000000000000000001111122212221222222212211100000111122222100000000002221221211

projective group of automorphisms generated by:
000100
000010
001000
100000
010000
000001

001000
000010
100000
010000
000100
000001