The generator matrix

 1  0  1  1  1  1  1  1  1  1  1
 0  1  1  2 2X+1  0  X 2X+1  X X+1  0
 0  0 2X  0  X  X 2X  0  X 2X  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+24x^18+66x^20+20x^21+84x^23+18x^24+12x^26+14x^27+4x^30

The gray image is a linear code over GF(3) with n=33, k=5 and d=18.
This code was found by Heurico 1.16 in 0.000414 seconds.