The generator matrix

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

generates a code of length 20 over Z3[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+74x^33+150x^34+1410x^36+264x^37+1944x^38+5400x^39+576x^40+3888x^41+5384x^42+372x^43+84x^45+96x^46+18x^48+14x^51+8x^54

The gray image is a linear code over GF(3) with n=180, k=9 and d=99.
This code was found by Heurico 1.16 in 0.27 seconds.