The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+229x^52+388x^53+1202x^54+1648x^55+2810x^56+3444x^57+4576x^58+4464x^59+4568x^60+3468x^61+2608x^62+1488x^63+1033x^64+380x^65+236x^66+80x^67+107x^68+14x^70+12x^72+4x^74+8x^76

The gray image is a code over GF(2) with n=472, k=15 and d=208.
This code was found by Heurico 1.16 in 13.9 seconds.