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.