The generator matrix
1 1 1 1 1 1 1 1 X X X 1
0 3 6 0 3 6 0 3 3 6 0 6
generates a code of length 12 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+72x^24+8x^27
The gray image is a code over GF(3) with n=108, k=4 and d=72.
This code was found by Heurico 1.16 in 0.000307 seconds.