The generator matrix
1 1 1 1 1 1 1 1 1 X X 1 1
0 X^2 2X^2 0 X^2 2X^2 0 X^2 2X^2 X^2 2X^2 0 X^2
generates a code of length 13 over Z3[X]/(X^3) who´s minimum homogenous weight is 25.
Homogenous weight enumerator: w(x)=1x^0+12x^25+54x^26+4x^27+6x^28+2x^30+2x^33
The gray image is a linear code over GF(3) with n=117, k=4 and d=75.
This code was found by Heurico 1.16 in 0.000338 seconds.