The generator matrix
1 0 1 1 1 1
0 1 1 0 8 0
0 0 2X X+6 0 3
0 0 0 6 6 6
generates a code of length 6 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+42x^6+18x^7+162x^8+238x^9+2106x^10+648x^11+11304x^12+4158x^13+648x^14+318x^15+36x^16+4x^18
The gray image is a code over GF(3) with n=54, k=9 and d=18.
This code was found by Heurico 1.16 in 0.0187 seconds.