The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+130x^58+1160x^59+2372x^60+3970x^61+5530x^62+6940x^63+8413x^64+8660x^65+8794x^66+6964x^67+5186x^68+3678x^69+1987x^70+1098x^71+410x^72+126x^73+62x^74+28x^75+10x^76+12x^77+1x^78+2x^79+2x^81

The gray image is a code over GF(2) with n=520, k=16 and d=232.
This code was found by Heurico 1.16 in 39.3 seconds.