The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^51+48x^52+108x^53+118x^54+36x^55+90x^57+54x^58+56x^60+24x^61+54x^62+50x^63+2x^69+2x^72

The gray image is a code over GF(3) with n=84, k=6 and d=51.
This code was found by Heurico 1.16 in 0.0055 seconds.