The generator matrix

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

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+34x^18+114x^19+54x^20+250x^21+642x^22+324x^23+2596x^24+1602x^25+6480x^26+4648x^27+1704x^28+432x^29+452x^30+312x^31+32x^33+6x^36

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 0.198 seconds.