The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+505x^52+1902x^53+4015x^54+6934x^55+10603x^56+14578x^57+17311x^58+19166x^59+17863x^60+14670x^61+10883x^62+6430x^63+3390x^64+1854x^65+579x^66+234x^67+94x^68+20x^69+26x^70+4x^71+6x^72+2x^74+2x^76

The gray image is a code over GF(2) with n=472, k=17 and d=208.
This code was found by Heurico 1.16 in 138 seconds.