The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+52x^58+208x^59+532x^60+1108x^61+1360x^62+1736x^63+2188x^64+2208x^65+2210x^66+1748x^67+1358x^68+836x^69+320x^70+256x^71+110x^72+72x^73+24x^74+20x^75+20x^76+13x^80+2x^82+2x^84

The gray image is a code over GF(2) with n=520, k=14 and d=232.
This code was found by Heurico 1.16 in 3.39 seconds.