The generator matrix

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

generates a code of length 14 over Z3[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+18x^25+14x^27+18x^28+6x^30+18x^31+6x^33

The gray image is a linear code over GF(3) with n=42, k=4 and d=25.
This code was found by Heurico 1.16 in 0.000377 seconds.