The generator matrix

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

generates a code of length 28 over Z9 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+192x^52+140x^54+96x^55+60x^57+72x^58+18x^60+96x^61+12x^63+30x^64+12x^66

The gray image is a code over GF(3) with n=84, k=6 and d=52.
This code was found by Heurico 1.16 in 1.23 seconds.