The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X 1 1 0 6 1 X X 3 1 1 1 1 1 1
0 X 2X 6 X+3 2X+6 3 X+6 2X+3 0 X+3 2X 6 X+6 2X+6 3 X 2X+3 X+3 2X X+6 2X+6 0 6 X X 3 X 2X+3 X X+3 X+6 X 0 6 3
generates a code of length 36 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 72.
Homogenous weight enumerator: w(x)=1x^0+236x^72+4x^81+2x^90
The gray image is a code over GF(3) with n=324, k=5 and d=216.
This code was found by Heurico 1.16 in 0.00957 seconds.