The generator matrix

 1  1  1  1  1  1  1  1  1  X  X  0  1
 0  X 2X  6 X+3 2X+6  3 X+6 2X+3 X+3 2X  X  0

generates a code of length 13 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+60x^24+54x^26+122x^27+6x^30

The gray image is a code over GF(3) with n=117, k=5 and d=72.
This code was found by Heurico 1.16 in 0.000448 seconds.