The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  0  1  1 14  1  1 12  1  1  2  1  1  1  1  1  1  1  1  8  6  1  1  1 10  1  8  1  0  2 14  1 12 12  1  1 12 14  2  4  0  4  0  1  1  1  1  2  2  4  0
 0  1 11  6  5  1 11 12  1  9  2  1  7  0  1 14  5  1  7 12  1  2  9  1  8  4  6  6  3 15  1 13  1  1 10  0  2  1 11  1 12  2  1  1  9  1  1  7  1  1  1  1  1  1  1  1  4 14  4 14  2 12  1  4
 0  0 12  0  0  0  0  8  8  8  8  8  8  4  4  4 12  4  4 12 12 12  4 12  0  4  0 12  0 12 12  0  8  4  8 12  4  0  4  4  8  8 12  8  8 12  0  8 12  0  8  4  4  8  4  8  0  8 12 12 12  8  4  4
 0  0  0 12  8  4  4  8  8  0  4 12 12  4  4  0  4  8  8 12 12  8 12  0  4  0  8 12  0  4  0 12  4  4  8  0 12  8  4  8  4 12  4  8 12  8  4  0  8  0  4  8 12  0  4 12 12  4  0  0  0  4  0  0

generates a code of length 64 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+550x^60+144x^61+848x^62+128x^63+906x^64+96x^65+768x^66+128x^67+412x^68+16x^69+48x^70+35x^72+14x^76+1x^80+1x^88

The gray image is a code over GF(2) with n=512, k=12 and d=240.
This code was found by Heurico 1.16 in 20.7 seconds.