The generator matrix
1 1 1 1 1
0 X 2X 0 3
0 0 3 3 6
generates a code of length 5 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+4x^6+18x^7+36x^8+8x^9+558x^10+72x^11+12x^12+18x^13+2x^15
The gray image is a code over GF(3) with n=45, k=6 and d=18.
This code was found by Heurico 1.16 in 0.00015 seconds.