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

generates a code of length 79 over Z9 who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+106x^156+486x^158+108x^159+26x^162+2x^237

The gray image is a code over GF(3) with n=237, k=6 and d=156.
This code was found by Heurico 1.16 in 0.11 seconds.