The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  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 2X^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 2X^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 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 X^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+90x^33+222x^36+1458x^38+324x^39+54x^42+18x^45+18x^51+2x^54

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 0.0975 seconds.