The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1
 0 X^2  0  0  0  0 X^2 2X^2 2X^2  0 X^2  0 X^2 2X^2 X^2  0 X^2 X^2
 0  0 X^2  0  0 X^2 2X^2  0 2X^2  0 2X^2 X^2 2X^2 2X^2  0 X^2 2X^2 X^2
 0  0  0 X^2  0 2X^2 2X^2 X^2  0 X^2 X^2 2X^2  0 2X^2  0  0 2X^2 2X^2
 0  0  0  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2  0  0 2X^2 2X^2 X^2  0  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+52x^30+76x^33+162x^34+1480x^36+324x^37+40x^39+28x^42+4x^45+16x^48+4x^51

The gray image is a linear code over GF(3) with n=162, k=7 and d=90.
This code was found by Heurico 1.16 in 0.0653 seconds.