The generator matrix

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

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+104x^33+618x^34+870x^35+2014x^36+3534x^37+6348x^38+7186x^39+12996x^40+11952x^41+7132x^42+4674x^43+1200x^44+304x^45+48x^46+42x^47+20x^48+6x^51

The gray image is a linear code over GF(3) with n=180, k=10 and d=99.
This code was found by Heurico 1.16 in 1.8 seconds.