The generator matrix
1 0 1 1 1 1 1
0 1 1 8 2X+7 0 8
0 0 2X 0 6 2X 2X+3
0 0 0 3 6 6 3
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+324x^10+2664x^12+1296x^13+8748x^14+5202x^15+1296x^16+100x^18
The gray image is a code over GF(3) with n=63, k=9 and d=27.
This code was found by Heurico 1.16 in 0.0499 seconds.