The generator matrix

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

generates a code of length 13 over Z9[X]/(X^2+6,3X) 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.