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

generates a code of length 31 over Z9 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+78x^57+60x^58+108x^59+126x^60+48x^61+96x^63+48x^66+48x^67+54x^68+54x^69+6x^70+2x^81

The gray image is a code over GF(3) with n=93, k=6 and d=57.
This code was found by Heurico 1.16 in 0.00656 seconds.