The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^55+147x^56+250x^57+498x^58+950x^59+1497x^60+3018x^61+4963x^62+7236x^63+9267x^64+9780x^65+9435x^66+7270x^67+4802x^68+2960x^69+1575x^70+882x^71+381x^72+210x^73+111x^74+90x^75+54x^76+30x^77+22x^78+12x^79+8x^80+8x^81+4x^82+2x^83+2x^84+1x^92

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 53.8 seconds.