The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+267x^52+900x^53+1978x^54+3284x^55+5637x^56+6856x^57+9126x^58+9188x^59+9817x^60+6976x^61+5312x^62+3084x^63+1740x^64+808x^65+288x^66+124x^67+92x^68+12x^69+30x^70+10x^72+2x^74+4x^76

The gray image is a code over GF(2) with n=472, k=16 and d=208.
This code was found by Heurico 1.16 in 35.3 seconds.