The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+422x^54+54x^55+180x^56+1374x^57+522x^58+756x^59+2778x^60+1836x^61+2322x^62+4158x^63+1836x^64+1116x^65+1380x^66+126x^67+678x^69+144x^72

The gray image is a code over GF(3) with n=279, k=9 and d=162.
This code was found by Heurico 1.16 in 0.959 seconds.