The generator matrix
1 0 1 1
0 1 1 3
0 0 2X X+3
0 0 0 3
generates a code of length 4 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 3.
Homogenous weight enumerator: w(x)=1x^0+8x^3+162x^4+1860x^6+648x^7+12636x^8+3704x^9+648x^10+16x^12
The gray image is a code over GF(3) with n=36, k=9 and d=9.
This code was found by Heurico 1.16 in 0.0105 seconds.