The generator matrix

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

generates a code of length 64 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+262x^59+498x^60+908x^61+982x^62+990x^63+1138x^64+1074x^65+873x^66+666x^67+366x^68+226x^69+65x^70+54x^71+28x^72+26x^73+14x^74+12x^75+6x^77+1x^80+1x^82+1x^86

The gray image is a code over GF(2) with n=512, k=13 and d=236.
This code was found by Heurico 1.16 in 2.43 seconds.