The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 X 6 X+3 2X 2X+6 3 X+6 2X+3 0 6 X+3 X+6 3 X 2X 2X+6 2X+3
generates a code of length 18 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+240x^36+2x^54
The gray image is a code over GF(3) with n=162, k=5 and d=108.
This code was found by Heurico 1.16 in 0.001 seconds.