The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1  6  1  1  1 X+6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 2X 2X+6  3  X 2X+3
 0  1 2X+4  8 X+3 X+1 X+2  1  6 2X+7  5  1 X+6 X+7 X+5  1 2X 2X+6  4  7 2X+8 2X+5  3  X 2X+1 X+4 2X+3  1  2 X+8 2X+2  1  1  1  1  1

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+720x^72+8x^81

The gray image is a code over GF(3) with n=324, k=6 and d=216.
This code was found by Heurico 1.16 in 0.00724 seconds.