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

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+630x^167+622x^168+660x^169+942x^170+628x^171+492x^172+540x^173+338x^174+288x^175+438x^176+348x^177+174x^178+324x^179+74x^180+36x^182+6x^184+6x^186+6x^191+2x^192+2x^195+2x^198+2x^201

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 2.09 seconds.