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

generates a code of length 39 over Z9 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+114x^72+486x^78+92x^81+34x^90+2x^117

The gray image is a code over GF(3) with n=117, k=6 and d=72.
This code was found by Heurico 1.16 in 0.0538 seconds.