The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+56x^57+235x^58+722x^59+1057x^60+1754x^61+2506x^62+3526x^63+4462x^64+4480x^65+4405x^66+3378x^67+2479x^68+1658x^69+924x^70+594x^71+232x^72+158x^73+51x^74+36x^75+15x^76+20x^77+6x^78+5x^80+2x^81+1x^82+5x^84

The gray image is a code over GF(2) with n=520, k=15 and d=228.
This code was found by Heurico 1.16 in 13.3 seconds.