The generator matrix

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

generates a code of length 13 over Z3[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+6x^24+54x^26+14x^27+6x^30

The gray image is a linear code over GF(3) with n=39, k=4 and d=24.
This code was found by Heurico 1.16 in 0.000261 seconds.