The generator matrix

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

generates a code of length 19 over Z3[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+124x^30+96x^31+594x^32+1062x^33+1938x^34+2802x^35+7402x^36+6852x^37+11682x^38+13732x^39+6870x^40+3762x^41+1584x^42+240x^43+114x^44+148x^45+42x^46+4x^48

The gray image is a linear code over GF(3) with n=171, k=10 and d=90.
This code was found by Heurico 1.16 in 2 seconds.