The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  8  4  2  8  1  1  8  1  0  1  1  2  1  2  1  4  1  1  2  2  1  2  1  2  2  1  1  1  2  1
 0  2  0  0  0  2  6 14  8  8 14  6 12 10  8  6 12 14  6 14  0  0 10  4 12 10 14  2  8 12 14  2  2 12  2  2  2  2 12  4 12  0  0  4  6 12 12 10  4 10  0 10 14  8  8  4 10  0
 0  0  2  0  2  2 10  0 12 14  8  2 12 12  2 14  2 10 14  0  4  6  4  8 10 14 10  6 12  2  8  6 14 12  8  4  8 12  6  6  0  2  6  2 12 14  6  4 14  8  8  4 12 14 12  6  0  2
 0  0  0  2  2  8 10  2  4  0 14 12  2  0  6  6  8  8  2  4 14  2 10 12 10  0 14  8  2  0  4  2  4  6  2 10  0 12  0 10 14 12 14  6  2 14 14  4  8  2  0  2  6  8 14 12 14  4
 0  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  0  8  8  0  0  8  0  8  0  0  8  0  0  8  8  0  8  8  0  0  0  8  0  8  8  0  8  8  0  0  0  0  8  8  0  8  0  8  8  0  8

generates a code of length 58 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+136x^51+391x^52+636x^53+859x^54+1146x^55+1743x^56+2210x^57+2309x^58+2220x^59+1708x^60+1160x^61+757x^62+446x^63+299x^64+170x^65+99x^66+48x^67+16x^68+16x^69+8x^70+4x^71+1x^72+1x^84

The gray image is a code over GF(2) with n=464, k=14 and d=204.
This code was found by Heurico 1.16 in 4.28 seconds.