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

generates a code of length 40 over Z9 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+108x^77+36x^78+26x^81+12x^84+54x^86+6x^93

The gray image is a code over GF(3) with n=120, k=5 and d=77.
This code was found by Heurico 1.16 in 0.0473 seconds.