length n = 166
dimension k = 6
alphabet length q = 3

minimum distance d = 108

generator matrix:
0000000000111110000011111000001111100000000000000011111111111111100000111111111100000000001111111111111111111100000111111111111111111111111111111111111111111111111111
0000001111000010011100011001110001100000011111111100000000011222201111000011111100111111110000000011111122222211111000001111111122222222222211111111222222221111222222
0001110001000100101101100110010010111111100000012200000012202001210111011100011111001111220011112200002200112211122111220002222200111112222211112222111122221222111222
0110010010001001110000101010111100000012200012221211222200000000011011101101100112120022122201120201120102010022212122221220112222011220001111221122112211222122122112
1010100100010001100110010101100110012200012221200002001221200000011101110110101012221201021220201210211010000212222222122121021211202001120212121212121212122212212121
1101001000100001011011000111001001021221221200000020120000020120011110111011010022122110101212011022000012102021211212112222200012120121212012212112211212212221221211

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

001000
000100
000001
100000
000010
010000