The generator matrix

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

generates a code of length 18 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+82x^27+126x^28+174x^30+432x^31+486x^32+436x^33+2736x^34+1944x^35+5114x^36+4464x^37+1944x^38+570x^39+918x^40+100x^42+72x^43+68x^45+12x^48+4x^51

The gray image is a code over GF(3) with n=162, k=9 and d=81.
This code was found by Heurico 1.16 in 11.7 seconds.