The generator matrix

 1  1  1  1  1  1  1  1  1  1  1
 0  X  0  X  0  X 2X 2X 2X  0  0
 0  0  X 2X 2X  X  0  X 2X  0  0

generates a code of length 11 over Z3[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+8x^18+54x^22+16x^24+2x^33

The gray image is a linear code over GF(3) with n=33, k=4 and d=18.
This code was found by Heurico 1.16 in 0.000165 seconds.