The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  3
 0  3  0  0  0  0  3  6  6  0  0  3  3  3  3  3  3  3  0  0  6  6  3  0  3  6  0  6  3  6  6  0
 0  0  3  0  0  3  6  0  6  0  3  3  6  6  0  3  0  3  3  3  3  0  3  6  0  6  0  6  6  3  0  3
 0  0  0  3  0  6  6  3  0  3  3  0  0  3  6  3  3  6  0  6  0  6  3  6  3  0  6  6  0  0  6  0
 0  0  0  0  3  6  6  6  6  6  0  6  0  0  6  6  0  3  6  0  0  6  0  3  3  3  3  6  6  3  0  6

generates a code of length 32 over Z9 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+48x^57+112x^60+268x^63+232x^66+24x^69+20x^72+6x^75+8x^78+6x^81+2x^84+2x^90

The gray image is a code over GF(3) with n=96, k=6 and d=57.
This code was found by Heurico 1.16 in 0.0139 seconds.