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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  1  4  1  1  4  1
 0 12  0  4  0  0  4  4  8  8  4 12  8 12  0 12  4  8  4  0 12 12  0  0 12 12  0  8 12  8  0 12  0  8  4  8  0  0  8  4  4  0  4  4 12  4  4  4  4  8  8  0  4  4  4  4  0 12  8  8  4  4  4  0
 0  0 12  4  0 12 12  0  8  4  4  0 12  4  0  8  8 12 12  8 12  0  0 12 12  4  0  4  8  0 12  8  0  4  4  0 12  8  8  8  0  4  8  0  4  4 12  8  0 12  4 12 12  4  0  8 12 12 12  4  8  4  4  8
 0  0  0  8  0  0  8  0  0  8  0  0  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  8  0  0  0  8  8  0  8  8  8  8  0  0  0  8  8  8  8  8  0  8  8  8  0  8  8  8  8  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  8  8  0  8  8  0  0  0  8  8  0  0  8  8  8  8  0  8  0  0  0  8  0  8  8  8  0  0  8  0  0  8  0  0  0  8  8  0  0  0  8  8
 0  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  8  8  8  0  0  8  0  0  0  8  0  8  8  0  8  8  0  0  8  0  8  0  0  8  0  8  8  0  8  0  0  8  8  8

generates a code of length 64 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+58x^58+107x^60+269x^62+256x^63+692x^64+256x^65+257x^66+81x^68+47x^70+14x^72+9x^74+1x^120

The gray image is a code over GF(2) with n=512, k=11 and d=232.
This code was found by Heurico 1.16 in 0.302 seconds.