The generator matrix
1 1 1 1 1 X X 1
0 3 6 0 3 3 6 0
generates a code of length 8 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 15.
Homogenous weight enumerator: w(x)=1x^0+14x^15+54x^16+10x^18+2x^21
The gray image is a code over GF(3) with n=72, k=4 and d=45.
This code was found by Heurico 1.16 in 0.000133 seconds.