The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+116x^59+210x^60+506x^61+736x^62+936x^63+1105x^64+1080x^65+1088x^66+878x^67+772x^68+430x^69+160x^70+98x^71+19x^72+22x^73+14x^75+1x^76+8x^77+6x^79+2x^80+2x^81+1x^88+1x^92

The gray image is a code over GF(2) with n=520, k=13 and d=236.
This code was found by Heurico 1.16 in 3.77 seconds.