The generator matrix

 1  0  1  1  1  1  1 2X^2  1  1 2X^2+X  1  1  1  1  1  1  0  1  1
 0  1  1  2 2X^2+2X+1  0 2X^2+2  1 X+1  X  1 2X^2+X+2 2X^2+2X+1  1 2X^2+X  1 2X^2+X+2  1 2X^2+2X+1  0
 0  0 2X  0 2X^2 X^2+2X 2X^2+X X^2+X 2X^2  X X^2+2X 2X^2+2X X^2+2X  X 2X^2 X^2+X  0 2X^2+2X X^2  0
 0  0  0 X^2 2X^2  0  0 2X^2  0 2X^2 2X^2 X^2 X^2 X^2 X^2  0 2X^2  0 X^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+28x^33+150x^34+312x^35+830x^36+810x^37+2124x^38+2778x^39+4314x^40+3942x^41+2786x^42+984x^43+372x^44+118x^45+54x^46+54x^47+18x^48+6x^49+2x^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 0.268 seconds.