The generator matrix
1 0 1 1 1 1 1 1
0 1 1 8 2X+1 2X+7 X+1 2X+7
0 0 2X 0 X 6 0 2X+6
0 0 0 3 0 6 3 6
0 0 0 0 3 6 6 6
generates a code of length 8 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+76x^9+162x^10+780x^12+972x^13+7290x^14+2760x^15+28188x^16+14580x^17+2776x^18+1296x^19+156x^21+12x^24
The gray image is a code over GF(3) with n=72, k=10 and d=27.
This code was found by Heurico 1.16 in 0.264 seconds.