The generator matrix

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

generates a code of length 28 over Z9 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+580x^51+500x^54+438x^57+424x^60+210x^63+30x^66+4x^69

The gray image is a code over GF(3) with n=84, k=7 and d=51.
This code was found by Heurico 1.16 in 40.3 seconds.