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  3  3  3  0  3  3  3  3  3  0  0  0
 0  3  0  3  0  3  6  6  6  0  0  3  3  0  3  6  6  6  0  0  3  3  0  3  6  6  6  0  3  0  6  3  3  3  6  6  0  3  3  0
 0  0  3  6  6  3  0  3  6  0  3  6  3  6  0  0  3  6  0  3  6  3  6  0  0  3  6  3  6  6  3  6  3  0  0  6  0  0  3  3

generates a code of length 40 over Z9 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+80x^81

The gray image is a code over GF(3) with n=120, k=4 and d=81.
This code was found by Heurico 1.16 in 0.00746 seconds.