The generator matrix

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

generates a code of length 13 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+144x^19+3228x^20+2592x^21+13716x^22+16284x^23+72426x^24+54054x^25+145944x^26+141896x^27+54288x^28+22512x^29+3960x^30+270x^31+114x^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 66.7 seconds.