The generator matrix

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

generates a code of length 18 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+510x^28+756x^29+3956x^30+6930x^31+18774x^32+22066x^33+64158x^34+70968x^35+108162x^36+121134x^37+70920x^38+29704x^39+11268x^40+1836x^41+126x^42+120x^43+42x^44+8x^45+2x^51

The gray image is a code over GF(3) with n=162, k=12 and d=84.
This code was found by Heurico 1.16 in 105 seconds.