The generator matrix

 1  0  0  1  1  1  1  1 2X^2+X  1 2X^2+2X  1  1  1 2X^2+2X  1  1  1
 0  1  0 2X^2+2X  1 2X^2+2X+1 2X^2+2 2X^2+X+2  1  0  1  X 2X  X  1 2X^2+2X+2 X+1 2X^2+X+1
 0  0  1 2X^2+2X+1  1 2X^2+2X+2 2X^2+X 2X^2+2 2X^2+2X+2  2 2X^2+2X+1 X+2 2X  1 2X^2+X+2 2X^2+2X+1  0 X+2
 0  0  0 2X^2 2X^2 2X^2  0  0 2X^2 X^2 2X^2 2X^2 X^2  0  0 X^2 X^2  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+670x^30+390x^31+2124x^32+3754x^33+5556x^34+7560x^35+15100x^36+10422x^37+7668x^38+4938x^39+618x^40+144x^41+74x^42+24x^43+4x^45+2x^48

The gray image is a linear code over GF(3) with n=162, k=10 and d=90.
This code was found by Heurico 1.16 in 1.55 seconds.