The generator matrix

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

generates a code of length 28 over Z9 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+60x^45+110x^48+262x^51+534x^54+660x^57+376x^60+82x^63+54x^66+28x^69+16x^72+4x^75

The gray image is a code over GF(3) with n=84, k=7 and d=45.
This code was found by Heurico 1.16 in 0.0673 seconds.