The generator matrix

 1  0  1  1  1  1  1 2X^2  1  1  1 2X  1  1 X^2+2X  1  1  1 2X^2+2X  1
 0  1  1  2  0 2X+1 2X^2+2  1 2X^2+2X 2X^2+2X+2 X+1  1 2X+2 X^2+2X+1  1  0 2X+2 2X+1  1 2X^2
 0  0 2X  0 X^2  X 2X^2+X X^2+X X^2+X 2X^2+2X 2X^2  0 X^2 2X^2+X  X X^2+X 2X^2+2X X^2 2X^2+2X 2X^2+X
 0  0  0  X 2X^2+2X 2X^2 X^2+2X 2X 2X^2+2X  X X^2+2X X^2+2X 2X 2X  X 2X^2+X X^2+2X 2X^2+X  X  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+432x^33+360x^34+288x^35+3232x^36+2160x^37+5616x^38+9624x^39+12096x^40+11232x^41+9504x^42+2880x^43+360x^44+1168x^45+96x^48

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 2.19 seconds.