The generator matrix

 1  0  1  1  1  1  1  3  1  1  1 2X  1  1  1  0  3  X
 0  1  1  8  0 2X+1  2  1 2X+3 2X+2 X+1  1 2X  8  1  1  1 2X+6
 0  0 2X  0  6  X X+3 X+6 X+6 2X+3  3  0  X  6 X+3 2X+6 X+3  6
 0  0  0  X 2X+3  3 2X+6 2X 2X+3  X 2X+6 2X+6 X+3 2X+6 2X 2X+6  3 2X+3

generates a code of length 18 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+198x^29+694x^30+708x^31+2172x^32+2500x^33+7518x^34+7242x^35+11270x^36+13968x^37+7434x^38+3626x^39+1110x^40+384x^41+128x^42+24x^43+66x^44+6x^45

The gray image is a code over GF(3) with n=162, k=10 and d=87.
This code was found by Heurico 1.16 in 10.7 seconds.