The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1
 0  X 2X  0 2X^2+X 2X  0 2X^2+X 2X X^2 2X^2+X X^2+2X 2X^2+X  0 X^2  X X^2+X X^2  0 2X^2+X
 0  0 X^2  0  0  0 X^2 2X^2 X^2 X^2  0 2X^2  0 2X^2 X^2 2X^2 X^2  0  0 2X^2
 0  0  0 X^2  0 X^2 X^2 2X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 2X^2 X^2  0
 0  0  0  0 2X^2 2X^2 X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2  0 2X^2  0 2X^2 X^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+118x^33+84x^34+222x^36+138x^37+162x^38+322x^39+4422x^40+324x^41+306x^42+132x^43+194x^45+78x^46+36x^48+6x^49+8x^51+6x^54+2x^57

The gray image is a linear code over GF(3) with n=180, k=8 and d=99.
This code was found by Heurico 1.16 in 0.0601 seconds.