The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+167x^52+384x^53+986x^54+1380x^55+2096x^56+2128x^57+2444x^58+2124x^59+1976x^60+1252x^61+674x^62+324x^63+240x^64+64x^65+80x^66+12x^67+21x^68+12x^69+8x^70+10x^72+1x^80

The gray image is a code over GF(2) with n=464, k=14 and d=208.
This code was found by Heurico 1.16 in 3.14 seconds.