The generator matrix

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

generates a code of length 18 over Z3[X]/(X^3) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+78x^31+246x^32+328x^33+852x^34+822x^35+1390x^36+1542x^37+858x^38+276x^39+96x^40+18x^41+26x^42+24x^43+4x^45

The gray image is a linear code over GF(3) with n=162, k=8 and d=93.
This code was found by Heurico 1.16 in 0.0276 seconds.