The generator matrix

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

generates a code of length 30 over Z9 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+72x^57+18x^58+24x^59+24x^60+30x^61+24x^62+26x^63+6x^65+6x^66+6x^69+6x^70

The gray image is a code over GF(3) with n=90, k=5 and d=57.
This code was found by Heurico 1.16 in 0.0025 seconds.