The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  2  8  1  1  1  1  0  1 10  1  1  8  1  1 10  1 12 12  1  1  1  1  8  1 14  1  1  1  0 10  1  1  1  8 10  2  1  2  1 10  1 12  6  1  0  6  1  1  2  2 12  1  2  1
 0  1  1  0  3  1  6  5  1  2  7  1  1 12 11 10  3  1  4  1  5 10  1 14 13  1  2  1  1  1 13 14  7  1  4  1  7  7  8  1  1 11 14  4  1  1 14  1  6  0  1 11  1  1 15  2  1  0 13 12  1  2 12 12  4
 0  0  2  6  0  2  0  8  0  6 10  2 12  2  4  8  6  6 12  0 14  2  2  4 12  2 10 12 14  8 14  0  6  8  6  0 10 12  8 12  2 14 12  6  2 12  6  6  2  6  2  8 12  6  4  6  0 12  4 14  0  2  4  4 10
 0  0  0 12  0  0  0  0  8  4  8  8  8  4  0  8  8  8  0  0  0 12  8  0  8  4  8 12 12  4  4  4  4 12 12  4  4  8  4  4  0  4  4  8 12  8  0  0  4  0 12  4  4  0 12  0 12  0  4  4  0  8 12  4  8
 0  0  0  0  8  0  0  8  8  0  0  0  8  8  0  8  8  8  8  0  8  8  8  8  0  8  8  8  0  0  8  0  0  8  8  8  8  0  8  8  8  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0  0  8  8  8  8  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  0  8  0  8  8  8  8  8  0  0  0  0  8  8  8  0  8  8  8  0  8  0  0  8  0  8  0  8  8  0  0  8  8  8  0  0
 0  0  0  0  0  0  8  8  0  8  8  8  8  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  8  8  8  0  0  8  0  0  0  8  0  8  0  8  0  0  8  8  8  0  8  8  8  8  8  8  0  8  0  8  0  8  8  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+104x^56+260x^57+600x^58+1140x^59+1997x^60+3518x^61+5053x^62+6750x^63+8924x^64+9336x^65+7970x^66+7188x^67+5600x^68+3216x^69+1856x^70+972x^71+488x^72+284x^73+114x^74+64x^75+27x^76+26x^77+19x^78+14x^79+11x^80+4x^82

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 49.9 seconds.