The generator matrix
1 1 1 1 1 X 1
0 X 0 X+6 3 6 X
0 0 X 2X+3 2X+6 X+6 X
0 0 0 3 0 3 6
generates a code of length 7 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+52x^9+162x^10+720x^12+648x^13+2916x^14+1314x^15+648x^16+100x^18
The gray image is a code over GF(3) with n=63, k=8 and d=27.
This code was found by Heurico 1.16 in 0.757 seconds.