The generator matrix

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

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+786x^33+1386x^34+2790x^35+7624x^36+6048x^37+20628x^38+26514x^39+31860x^40+37854x^41+26790x^42+8820x^43+4338x^44+1564x^45+144x^48

The gray image is a linear code over GF(3) with n=180, k=11 and d=99.
This code was found by Heurico 1.16 in 51.2 seconds.