The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  1  X  X  X  1  X  X  X  X  1  1  1
 0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  0  6  6  3  3  0  6  6  3  0  3  0  6  3  0  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+72x^72+8x^81

The gray image is a code over GF(3) with n=324, k=4 and d=216.
This code was found by Heurico 1.16 in 0.00949 seconds.