The generator matrix

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

generates a code of length 13 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+66x^18+120x^21+162x^22+1116x^24+648x^25+1458x^26+2102x^27+648x^28+132x^30+108x^33

The gray image is a code over GF(3) with n=117, k=8 and d=54.
This code was found by Heurico 1.16 in 0.0262 seconds.