The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1  0  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  4  8  1  0
 0  0  3  0  0  0  3  3  0  6  6  6  0
 0  0  0  6  0  0  3  3  6  3  0  3  0
 0  0  0  0  3  0  6  3  6  0  3  6  0
 0  0  0  0  0  6  3  0  3  3  3  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+186x^18+162x^20+348x^21+2430x^22+972x^23+10530x^24+3888x^25+10692x^26+20954x^27+6804x^28+1296x^29+762x^30+24x^39

The gray image is a code over GF(3) with n=117, k=10 and d=54.
This code was found by Heurico 1.16 in 0.885 seconds.