The generator matrix
1 1 1 1
0 X 0 X+6
0 0 X 2X+6
0 0 0 6
generates a code of length 4 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 3.
Homogenous weight enumerator: w(x)=1x^0+8x^3+108x^4+240x^6+432x^7+4860x^8+464x^9+432x^10+16x^12
The gray image is a code over GF(3) with n=36, k=8 and d=9.
This code was found by Heurico 1.16 in 0.00221 seconds.