The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+1054x^54+828x^55+3168x^56+4758x^57+7866x^58+11736x^59+18828x^60+20520x^61+26460x^62+31286x^63+21960x^64+15840x^65+8148x^66+2772x^67+1116x^68+666x^69+140x^72

The gray image is a code over GF(3) with n=279, k=11 and d=162.
This code was found by Heurico 1.16 in 113 seconds.