The generator matrix
1 0 0 1 1 1 1
0 1 0 1 2X+6 7 6
0 0 1 8 2X+7 7 6
0 0 0 2X 2X+6 X+6 X
generates a code of length 7 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+252x^8+130x^9+2592x^10+1512x^11+22512x^12+10368x^13+82242x^14+44982x^15+10368x^16+2016x^17+166x^18+6x^21
The gray image is a code over GF(3) with n=63, k=11 and d=24.
This code was found by Heurico 1.16 in 1.48 seconds.