The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^52+224x^53+488x^54+936x^55+1392x^56+1838x^57+2324x^58+2318x^59+2143x^60+1814x^61+1289x^62+756x^63+375x^64+202x^65+101x^66+80x^67+29x^68+18x^69+19x^70+4x^71+3x^72+3x^74+2x^75+1x^80

The gray image is a code over GF(2) with n=472, k=14 and d=208.
This code was found by Heurico 1.16 in 2.95 seconds.