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.