The generator matrix
1 1 1 1 1 1 X 1
0 X 2X 0 X+6 2X X+6 3
0 0 3 3 6 6 3 6
generates a code of length 8 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+14x^12+18x^13+72x^14+60x^15+342x^16+144x^17+56x^18+18x^19+4x^21
The gray image is a code over GF(3) with n=72, k=6 and d=36.
This code was found by Heurico 1.16 in 0.000408 seconds.