The generator matrix

 1  0  1  1  1  1  1 X+6  1  1  1 2X  1
 0  1 2X+7  8 X+6 X+1 X+5  1 2X  7 2X+8  1  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+204x^24+36x^25+54x^26+410x^27+18x^28+6x^30

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 0.000569 seconds.