The generator matrix

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

generates a code of length 19 over Z3[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+60x^33+60x^34+140x^36+48x^37+1620x^38+94x^39+90x^42+48x^43+18x^45+6x^46+2x^57

The gray image is a linear code over GF(3) with n=171, k=7 and d=99.
This code was found by Heurico 1.16 in 0.00852 seconds.