The generator matrix

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

generates a code of length 21 over Z3[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+106x^33+160x^36+418x^39+5152x^42+538x^45+64x^48+88x^51+30x^54+4x^57

The gray image is a linear code over GF(3) with n=189, k=8 and d=99.
This code was found by Heurico 1.16 in 0.608 seconds.