The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3  0  3  0  3  6  6  6  0  0  3  3
 0  0  3  6  6  3  0  3  6  0  3  6  3

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+12x^24+216x^26+8x^27+4x^30+2x^39

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 0.000459 seconds.