The generator matrix

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

generates a code of length 29 over Z9 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+156x^52+246x^53+84x^54+264x^55+258x^56+54x^57+174x^58+162x^59+66x^60+222x^61+204x^62+12x^63+114x^64+84x^65+18x^66+42x^67+18x^68+6x^69+2x^81

The gray image is a code over GF(3) with n=87, k=7 and d=52.
This code was found by Heurico 1.16 in 0.237 seconds.