The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+236x^60+592x^61+588x^62+592x^63+521x^64+368x^65+424x^66+320x^67+202x^68+96x^69+60x^70+80x^71+10x^72+4x^76+2x^84

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 0.379 seconds.