The generator matrix

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

generates a code of length 18 over Z3[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+270x^33+324x^34+688x^36+648x^37+234x^39+18x^42+4x^45

The gray image is a linear code over GF(3) with n=162, k=7 and d=99.
This code was found by Heurico 1.16 in 0.99 seconds.