The generator matrix

 1  0  1  1  1  1  1  1  3  1  0  1  1  1  6  1  1 X+3  1  1 2X+6  1  1  1  1  1  1  1 X+3 2X  1  1  1 2X+6  1  1  1  1  1  1  1  1 2X  1  1  1 2X X+6  1  1  1  1  X  3  1  1  1  1  1  1  1 X+3  1 2X+6  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1 2X+3  1  0  X
 0  1  1  8  3  2  0  4  1  8  1 2X+4 X+4  2  1  3 X+8  1 2X+8  3  1  1  4  0 2X+1 X+1 X+2 2X+2  1  1  X 2X+4 X+2  1 X+1 2X+3  X 2X+3 X+4 2X+5 X+3 X+8  1 2X 2X+5 X+4  1  1 2X 2X 2X+7 2X+5  1  1  5 X+1 2X+3 X+3 2X+4 2X+8  2  1 2X+8  1 X+8 X+2 X+2 X+8  1 2X+1 X+3 2X+5  X X+5 2X+8  1  3  8 X+6  5  0 2X+6  1 X+1  1  1
 0  0 2X  6 X+6 X+3 2X+6 2X+3  X 2X+6 2X+6  3 X+6  3 X+6  6  X 2X 2X+6  X  6 X+3  0 2X X+6  0 2X+3  X  0 2X+6  X 2X  6 X+6 2X+3 X+6  3 2X+6  3 X+3 2X  0  3  3 2X+3 X+3 2X  X  6 2X X+3  0 X+6 2X 2X+3  6  X X+6  0  6  0 2X+6 X+3  X  3 X+6 X+3 2X+6 X+6  6  0  3 X+3  X  X 2X+3  3 2X 2X+6  3 X+3  0  X 2X  6 2X+3

generates a code of length 86 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+678x^167+526x^168+744x^169+948x^170+512x^171+456x^172+612x^173+340x^174+432x^175+462x^176+222x^177+144x^178+330x^179+86x^180+42x^182+6x^184+6x^188+2x^189+8x^192+2x^198+2x^204

The gray image is a code over GF(3) with n=774, k=8 and d=501.
This code was found by Heurico 1.16 in 292 seconds.