The generator matrix

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

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+170x^24+324x^26+198x^27+30x^30+4x^33+2x^36

The gray image is a code over GF(3) with n=117, k=6 and d=72.
This code was found by Heurico 1.16 in 0.00106 seconds.