The generator matrix
1 0 1 1 1
0 1 1 0 0
0 0 2X X+3 0
0 0 0 3 3
generates a code of length 5 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+36x^4+200x^6+216x^7+1458x^8+740x^9+13068x^10+2916x^11+750x^12+288x^13+10x^15
The gray image is a code over GF(3) with n=45, k=9 and d=12.
This code was found by Heurico 1.16 in 0.0113 seconds.