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 10  0  2 10  0 12
 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  1  1  1  1  1
 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 10  2  8  0 12  6

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

Homogenous weight enumerator: w(x)=1x^0+128x^61+694x^62+208x^63+199x^64+56x^65+600x^66+72x^67+24x^68+32x^69+16x^70+8x^71+8x^77+2x^94

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 0.169 seconds.