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  2  2 12  8  1  1  1  8  8  2  1 12  1  2  1  8  2  4  8  1  2  1  1  2  2  1  2  2  2  4  2  1 12  1  1  2  2  2
 0  2  0  0  0  2  6 14  4  4 10 10 10  2  0  4  6  4  6  6  8 12  6 12 14 14  4  2  6  0 12  2 14 12  2  2 12 14  4  2  2  2  2  8  2  2  6 12  8  8  6 14 12 12 10 12  0  2  8 12 12  8  6  6  8
 0  0  2  0  2  2  2  0  8 10  0  2  4  2  6 12  8  6 14  0 12 10  6  4  4  6  2  6 10  2  2  0  6  2  0 14 10  2  2 12  0 12 12 12  6 10  2  0  4  4  4 12  0  8 10  6  8  2 14  0  8  0 12  4 14
 0  0  0  2  2  0  2  2  2 14  4 10  2 12  0  8  8 10  6 14  4  4  4 10 12  0 10 10  4  6  0  6  2  0  2  2  0 12 12  8 10  6  0 14 14 12 12  2  4  8  0 10 10 14  4  2  2  8  0  2 10 10  6  4  6
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  8  0  0  8  0  8  0  0  8  8  0  0  8  8  0  8  0  8  0  8  8  0  8  8  8  0  0  0  8  8  0  0  0  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  8  0  0  8  8  0  8  0  0  8  0  8  0  8  0  0  0  0  8  8  0  0  0  8  8
 0  0  0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  0  8  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  0  0  0  8  0  8  0  8  0  8  0  8  0  0  8  8  0  0  0  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+259x^56+496x^57+1180x^58+1532x^59+2575x^60+3272x^61+4963x^62+6420x^63+7834x^64+8364x^65+8027x^66+6424x^67+5223x^68+3356x^69+2390x^70+1256x^71+915x^72+500x^73+305x^74+108x^75+78x^76+12x^77+26x^78+4x^79+10x^80+4x^82+1x^86+1x^88

The gray image is a code over GF(2) with n=520, k=16 and d=224.
This code was found by Heurico 1.16 in 74.8 seconds.