The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+60x^56+118x^57+158x^58+530x^59+807x^60+1660x^61+2329x^62+3826x^63+4359x^64+5190x^65+4364x^66+3818x^67+2288x^68+1626x^69+764x^70+498x^71+129x^72+92x^73+46x^74+28x^75+23x^76+18x^77+17x^78+4x^79+10x^80+2x^84+2x^86+1x^88

The gray image is a code over GF(2) with n=520, k=15 and d=224.
This code was found by Heurico 1.16 in 14.2 seconds.