The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+56x^55+167x^56+322x^57+534x^58+1020x^59+1974x^60+3392x^61+4864x^62+7048x^63+8911x^64+9108x^65+8723x^66+7132x^67+5087x^68+3380x^69+1812x^70+902x^71+446x^72+264x^73+167x^74+86x^75+47x^76+42x^77+23x^78+10x^79+7x^80+2x^81+4x^82+2x^83+2x^85+1x^86

The gray image is a code over GF(2) with n=520, k=16 and d=220.
This code was found by Heurico 1.16 in 53.6 seconds.