The generator matrix

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

generates a code of length 64 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+328x^61+340x^62+416x^63+50x^64+304x^65+287x^66+240x^67+12x^68+28x^69+12x^70+20x^71+4x^75+4x^77+1x^88+1x^90

The gray image is a code over GF(2) with n=512, k=11 and d=244.
This code was found by Heurico 1.16 in 0.219 seconds.