The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^57+1011x^58+2542x^59+4147x^60+7480x^61+10518x^62+14470x^63+16194x^64+18170x^65+16799x^66+14682x^67+10268x^68+6850x^69+3965x^70+2338x^71+902x^72+416x^73+148x^74+48x^75+37x^76+6x^77+5x^78+3x^80+2x^82

The gray image is a code over GF(2) with n=520, k=17 and d=228.
This code was found by Heurico 1.16 in 152 seconds.