The generator matrix

 1  0  0  1  1  1 10 14  2  8  1  1  1  1  1  4  1  1  0  1 14  1  8  1  2  1 12  0 14 14  1  1  1  1  1  4  1  1 12  2  1  1  1  1  1  1  8  1  1  1  1  6  1  1  1  1  1 12  1  1  2  1  1  1
 0  1  0  0  5  5  1 14  1  1  8  3 15 10  2  2  2  9  1  1  1 11  1 11  1  2  6 12  1  4  0 15  1 14  8  1 14 12  1  2 11  6  5  0  9  5 10 11  4  4  9  1 15  8  1 14  2  1 10  4  1 13  5  6
 0  0  1  3 11  8  7  1  2 13 10 15  6  9  7  1 12  1 14  6 13  8 15  5  8 10  1  1  4  1  9  5  4  0  6  9 14  8 15  1 12 15 14  9  5  4  1 10  3  1  7 11  6 12 10  0  8  7 11  2  4  6 13 13
 0  0  0  8  8  0  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  8  0  8  0  0  8  0  8  0  0  0  8  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  0  0  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+625x^60+808x^61+1400x^62+1120x^63+1262x^64+672x^65+868x^66+464x^67+413x^68+200x^69+216x^70+48x^71+64x^72+16x^73+12x^74+1x^76+1x^80+1x^84

The gray image is a code over GF(2) with n=512, k=13 and d=240.
This code was found by Heurico 1.16 in 82.4 seconds.