The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X
 0  3  0  0  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6  6  0  0  0  3  3  0  3  3  6  3
 0  0  3  0  6  3  6  3  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3  6  0  0  3  6  3  3  6  0  6  0
 0  0  0  3  6  6  0  6  6  6  3  0  6  0  6  3  3  0  3  3  3  6  3  0  3  6  0  0  3  6  6  6  3  3  3  6  6

generates a code of length 37 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+114x^72+486x^74+108x^75+18x^81+2x^108

The gray image is a code over GF(3) with n=333, k=6 and d=216.
This code was found by Heurico 1.16 in 0.0131 seconds.