The generator matrix

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

generates a code of length 13 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+132x^19+3240x^20+2592x^21+13764x^22+16236x^23+72426x^24+53982x^25+146016x^26+141896x^27+54336x^28+22464x^29+3960x^30+258x^31+126x^32+6x^33+6x^36

The gray image is a code over GF(3) with n=117, k=12 and d=57.
This code was found by Heurico 1.16 in 61.1 seconds.