The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  2  1  1  1  1  1  2  1  0  1  0  2  1  0  1  2  2  1  2  1  2  1  0  1  1  8  1  1  0  1  1  2  1  2  4  1  1  1
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2  4  6 10  0  6  4  4  2  8  4 12  4 14 10  6 10 10  8  8  2 10 10 12 14 14 14 12  8 10 14  0 12 14  4 12  0 14  2  0  6 10  6  4  0  8  4  4
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  4 14  6 14  0 14  8  8 12  2  6  6  4  8 10  2 10  2 14  8  4 14  4 14  4 10  0  2 12  8 12  2 12  0  8  2 14  2  6  2 14  0  2  2  8  2  2
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2 10  8  6  4 12  2 12  4  2  0 12 14 12 10  0  4  2  6  2  6  0 12  2 10  6  8  2 12  0  8  0  6 14  8  2  6 14  8  8  4  6  8  2  0  8 14  0

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

Homogenous weight enumerator: w(x)=1x^0+142x^59+400x^60+504x^61+717x^62+896x^63+979x^64+1226x^65+1062x^66+744x^67+518x^68+314x^69+257x^70+160x^71+105x^72+86x^73+44x^74+10x^75+12x^76+14x^77+1x^96

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 1.26 seconds.