The generator matrix
1 0 1
0 1 2X+3
0 0 2X+4
generates a code of length 3 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 2.
Homogenous weight enumerator: w(x)=1x^0+72x^2+6x^3+1728x^4+288x^5+13836x^6+3456x^7+288x^8+8x^9
The gray image is a code over GF(3) with n=27, k=9 and d=6.
This code was found by Heurico 1.16 in 0.00139 seconds.