The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1  1  1 2X  1  1  1  1  1  1
 0  1 2X^2+2X+1  2 2X^2+X X+1 2X^2+X+2  1 2X 2X+2 2X^2+1  1 X+1 2X^2+1 2X^2+2X+1  0 2X^2+X  0
 0  0 2X^2  0 2X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 2X^2 2X^2  0 X^2  0
 0  0  0 X^2 2X^2 2X^2 X^2  0 X^2 2X^2  0 2X^2 X^2  0 2X^2 2X^2  0  0

generates a code of length 18 over Z3[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+120x^30+216x^32+278x^33+1134x^34+864x^35+358x^36+2268x^37+864x^38+402x^39+44x^42+10x^45+2x^51

The gray image is a linear code over GF(3) with n=162, k=8 and d=90.
This code was found by Heurico 1.16 in 0.0275 seconds.