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

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+286x^30+648x^32+760x^33+3402x^34+2592x^35+1426x^36+6804x^37+2592x^38+1048x^39+100x^42+4x^45+16x^48+4x^51

The gray image is a linear code over GF(3) with n=162, k=9 and d=90.
This code was found by Heurico 1.16 in 59.7 seconds.