The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^51+102x^52+72x^53+104x^54+96x^55+48x^56+34x^57+66x^58+18x^59+40x^60+42x^61+18x^62+24x^63+12x^64+6x^65+2x^66+6x^67+4x^69

The gray image is a code over GF(3) with n=84, k=6 and d=51.
This code was found by Heurico 1.13 in -6.29e-008 seconds.