The generator matrix

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

generates a code of length 18 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+48x^27+132x^28+72x^29+392x^30+186x^31+720x^32+672x^33+1752x^34+2430x^35+5612x^36+3324x^37+2412x^38+1020x^39+300x^40+198x^41+244x^42+138x^43+18x^45+10x^48+2x^51

The gray image is a code over GF(3) with n=162, k=9 and d=81.
This code was found by Heurico 1.16 in 0.365 seconds.