The generator matrix

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

generates a code of length 97 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+666x^181+1164x^182+3996x^183+6126x^184+8178x^185+13840x^186+16128x^187+17082x^188+27380x^189+28242x^190+30276x^191+42902x^192+39594x^193+39402x^194+50204x^195+42606x^196+35346x^197+40146x^198+28818x^199+19512x^200+16906x^201+10092x^202+5106x^203+4002x^204+1944x^205+780x^206+522x^207+198x^208+42x^209+36x^210+24x^211+42x^212+42x^213+18x^214+36x^215+12x^216+18x^217+12x^221

The gray image is a code over GF(3) with n=873, k=12 and d=543.
This code was found by Heurico 1.16 in 721 seconds.