The generator matrix

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

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+122x^33+486x^34+694x^36+1944x^37+1200x^39+1944x^40+128x^42+34x^45+6x^48+2x^51

The gray image is a linear code over GF(3) with n=171, k=8 and d=99.
This code was found by Heurico 1.16 in 0.0387 seconds.