The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  0 X+3  0  0
 0  0  3  0  0  6  3  3  0  3  3  0  0
 0  0  0  6  0  3  3  6  3  0  3  0  0
 0  0  0  0  3  3  6  3  3  3  0  6  0

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

Homogenous weight enumerator: w(x)=1x^0+120x^18+330x^21+324x^22+3894x^24+1296x^25+4374x^26+7358x^27+1296x^28+588x^30+102x^33

The gray image is a code over GF(3) with n=117, k=9 and d=54.
This code was found by Heurico 1.16 in 0.114 seconds.