The generator matrix

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

generates a code of length 18 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+216x^29+244x^30+276x^31+840x^32+574x^33+2334x^34+2076x^35+4844x^36+4248x^37+2232x^38+728x^39+408x^40+420x^41+164x^42+24x^43+48x^44+6x^45

The gray image is a code over GF(3) with n=162, k=9 and d=87.
This code was found by Heurico 1.16 in 0.615 seconds.