The generator matrix

 1  1  1  1  1  1  X  1  1  X  1  X  1
 0  X 2X  0 X+6 2X X+6  0 X+6 2X 2X X+6  0
 0  0  3  0  0  0  6  0  3  6  3  3  0
 0  0  0  3  0  0  6  3  6  0  6  3  0
 0  0  0  0  6  0  6  6  6  6  0  6  0
 0  0  0  0  0  3  0  6  6  3  3  3  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+186x^18+162x^20+348x^21+486x^22+972x^23+1782x^24+1944x^25+6318x^26+3458x^27+1944x^28+1296x^29+762x^30+24x^39

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 0.205 seconds.