The generator matrix

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

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+414x^33+72x^34+72x^35+2014x^36+432x^37+918x^38+4308x^39+3294x^40+1836x^41+4428x^42+576x^43+90x^44+1126x^45+102x^48

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 0.453 seconds.