The generator matrix

 1  0  0  1  1  1 2X  1  1 X+3  1  1  1  0  1  1  1  1
 0  1  0  1 2X+3  8  1  4  8  1 2X+8  0  X  1  4 2X+4 X+2 X+7
 0  0  1  8 2X+4  8 2X+1  4  X X+2 2X+1 X+8  1  5 X+1 X+3 2X+5  X
 0  0  0 2X 2X+3  6 X+6 X+3 X+6  X  X X+3  3  3  0 X+3 2X+3  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+366x^29+1646x^30+1728x^31+7260x^32+6942x^33+18792x^34+26970x^35+37480x^36+34992x^37+27390x^38+9890x^39+2808x^40+624x^41+168x^42+84x^44+4x^45+2x^48

The gray image is a code over GF(3) with n=162, k=11 and d=87.
This code was found by Heurico 1.16 in 196 seconds.