The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  1  X 2X^2  1  X  X  1
 0  X  0  0 2X 2X^2+X  X 2X^2+2X 2X 2X^2+X X^2 2X^2+2X 2X  0  X  X  X 2X^2+2X 2X 2X
 0  0  X 2X  0 X^2+2X  X 2X^2+X 2X 2X^2+2X 2X^2  X  0 2X^2+2X  X 2X^2+X 2X X^2+X 2X^2+2X X^2+2X
 0  0  0 X^2  0  0 2X^2 X^2  0 2X^2 X^2 2X^2 2X^2 X^2  0 X^2 X^2  0  0 X^2
 0  0  0  0 X^2 2X^2 X^2  0 2X^2 2X^2  0  0 2X^2 2X^2  0 2X^2 X^2  0 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+506x^33+54x^34+1774x^36+324x^37+1944x^38+4392x^39+648x^40+3888x^41+4658x^42+432x^43+946x^45+90x^48+20x^51+6x^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 51.9 seconds.