The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  1  2  2  1  4  1  8  4  4  1  1  4  1  4  1  1  2  0  2  2  1  1  1  1
 0 12  0  0  0  0  0  0  0  0  8  4 12 12  8  0 12 12  4  4  8  4  0 12 12  4  4  4 12  8  8  4 12  8  4 12 12  8  8  4 12 12 12  8  8 12 12  8  4  8  0  8  4  4 12  8  0  0  4  8 12  0  8  0  0
 0  0 12  0  0  0  0  0  0  0 12  8  4 12  4  4  4 12  0  8 12 12  4  4 12  8  0 12  0  4 12  0  8  0  8  4 12  8 12 12 12  8 12  8  0  8 12  0  0  0 12  8  0  0  4  8  8  8  4  0  0 12  4 12  0
 0  0  0 12  0  0  8 12 12  4  4 12  8 12 12  0  8 12 12  8  0  8 12 12 12  0  4  0  4  4  8  0 12  0  8 12  4  0  8  0 12  0  8 12  4  8  8  4  8  8  0  0 12 12  0  0  8 12  0 12  4  8  8 12  8
 0  0  0  0 12  0 12 12  4  8  0  0  0  0  8  0 12  4  4 12  4  0  4 12  0 12 12 12  8 12  4  0  8  0 12  0 12  4 12  8  8  8  0  4  8  0 12  0  4  0  8 12 12  8 12  8  4  8  4  0  4  8  4  8  8
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  4  4  0  8  4  4  0  4 12 12 12  8  8 12  4  0 12  4  4  8  0  8 12 12  8  0 12  8  4  8  8  8  4  4  0 12  0 12 12  4  0  8 12  8  8  0 12  8  4  0  4

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

Homogenous weight enumerator: w(x)=1x^0+72x^55+118x^56+172x^57+237x^58+284x^59+411x^60+724x^61+1149x^62+1644x^63+2199x^64+2464x^65+2223x^66+1712x^67+1155x^68+560x^69+355x^70+284x^71+165x^72+136x^73+104x^74+92x^75+38x^76+36x^77+28x^78+8x^79+8x^80+4x^81+1x^96

The gray image is a code over GF(2) with n=520, k=14 and d=220.
This code was found by Heurico 1.16 in 7.46 seconds.