The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  X  1  0  X  X  0  1  X  1  1  X
 0  X  0  0 2X X+3  X 2X+3 2X X+3  3  0 X+3 2X+3  3 X+6 2X 2X X+3  6 2X+3 2X+3 X+3 X+6  3  3 2X+3  6  0 2X+6 X+6 2X+6 X+3  0  X 2X+3  3 2X+3  6  6  0 X+3  0 2X+3 X+6 X+3  6 2X+3 X+6 2X  6  6  3 2X  3 2X+3 2X 2X  6 2X+6 2X  6 2X+6  X X+6 2X+3 X+6 2X+3 X+3 2X  X X+3 X+6 2X  X 2X+3 2X  X X+3 X+3  X  3 2X X+6  X  0
 0  0  X 2X  0 2X+6  X X+6 2X+6 2X+3  X  3 X+6 X+6 2X+6  6  6 2X+3 2X+3 X+3  0 X+3 X+3  3  3 2X+6 2X+3  0 X+3 2X+3  X  0  3 2X+6 2X 2X+6  X  3 2X+6  6 2X+3 2X+3  6  X 2X+3  0 X+3  3  X X+3 X+6  6 2X+6 2X+3 X+6 2X+6 X+3 X+3 X+3 2X X+6 2X+3  3 X+6 X+3  3  X X+3  0 2X  3  3 X+3 2X+6 2X X+6  3  3  0  6  0 2X+6  3 2X+3 2X 2X
 0  0  0  6  0  0  0  3  0  6  3  6  3  6  0  6  0  3  0  3  6  0  0  3  6  3  6  6  6  6  6  0  3  6  3  3  6  3  6  3  0  0  0  0  6  6  0  6  3  3  3  0  3  3  6  0  3  0  0  6  6  0  6  0  3  3  6  6  6  3  0  0  6  0  6  0  6  6  6  6  0  6  3  0  3  3
 0  0  0  0  6  3  6  0  3  0  3  6  0  0  0  0  0  0  0  0  6  0  0  0  0  0  0  3  0  6  6  3  3  6  6  6  3  6  3  6  6  6  6  6  6  3  6  0  6  3  6  3  3  3  6  0  0  3  3  3  3  3  3  3  3  3  0  6  6  6  3  6  0  6  0  0  3  6  3  3  0  3  3  3  3  6

generates a code of length 86 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+636x^162+1086x^165+216x^166+162x^167+1776x^168+1620x^169+810x^170+1626x^171+3402x^172+1782x^173+2398x^174+2052x^175+162x^176+696x^177+478x^180+346x^183+228x^186+146x^189+58x^192+2x^234

The gray image is a code over GF(3) with n=774, k=9 and d=486.
This code was found by Heurico 1.16 in 66.6 seconds.