The generator matrix

 1  0  0  0  1  1  1 2X+6  1  1  3  1
 0  1  0  0 2X+6  7 2X+1  1 2X+3 2X+4  1 2X+5
 0  0  1  0 2X+7  7 2X+8 X+7 2X+6  2 X+3 2X+1
 0  0  0  1 2X+5 X+6 X+8 X+5 2X+1 2X+6  7 X+1

generates a code of length 12 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+96x^17+2596x^18+2058x^19+14346x^20+11932x^21+72180x^22+56772x^23+152890x^24+141066x^25+56874x^26+16906x^27+3396x^28+216x^29+110x^30+2x^33

The gray image is a code over GF(3) with n=108, k=12 and d=51.
This code was found by Heurico 1.16 in 55.3 seconds.