The generator matrix

 1  0  1  1  1  1  1  0  1  1  X  1  1  1  1  1  1  1
 0  1  1  2 2X^2+2X+1 2X^2+X 2X^2+2  1 2X^2 2X+1  1  X 2X^2+X+2 2X X+1 X+1  0 2X+1
 0  0 2X  0 2X^2 2X^2 2X^2+X 2X^2+2X X^2+X  X  X  X X^2+2X X^2+2X  0 2X X^2+2X X^2+X
 0  0  0 X^2 2X^2 X^2 X^2  0 2X^2 2X^2 2X^2 X^2  0 X^2  0 2X^2 2X^2 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+314x^30+36x^31+648x^32+1090x^33+1944x^34+2592x^35+5076x^36+3780x^37+2592x^38+1360x^39+72x^40+168x^42+8x^45+2x^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 0.237 seconds.