The generator matrix

 1  0  1  1  1  1  1  3  1  1  1  6  1  1  1  1  1  1  1  1  1  0  3  6  1  1  1  1  1  1  1  1  1  3  3  3  0  0  3  6
 0  1  7  8  3  4  2  1  6  1  5  1  0  7  3  4  8  2  6  1  5  1  1  1  0  3  6  7  4  1  8  2  5  0  3  6  1  3  1  1

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 1.13 in 0.032 seconds.