The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  X  1
 0  X  0 2X^2+X X^2  X 2X 2X^2+2X 2X  0 2X^2+X 2X^2+X 2X 2X^2 2X 2X  0 X^2
 0  0  X X^2+2X 2X^2+2X  X  0 2X^2+X X^2+2X X^2 X^2+2X 2X^2+X 2X^2 2X^2+2X X^2 X^2+2X 2X^2+X X^2
 0  0  0 X^2  0 2X^2 2X^2  0 X^2 2X^2  0  0 X^2 X^2 X^2 X^2 2X^2 X^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+102x^30+102x^31+306x^32+316x^33+624x^34+756x^35+1820x^36+1080x^37+810x^38+346x^39+96x^40+72x^41+80x^42+42x^43+6x^45+2x^48

The gray image is a linear code over GF(3) with n=162, k=8 and d=90.
This code was found by Heurico 1.16 in 0.0471 seconds.