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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+148x^49+380x^50+1006x^51+1460x^52+2520x^53+3395x^54+4944x^55+6554x^56+8258x^57+8119x^58+8152x^59+6804x^60+5336x^61+3309x^62+2418x^63+1213x^64+718x^65+383x^66+230x^67+92x^68+44x^69+24x^70+18x^71+4x^72+6x^74

The gray image is a code over GF(2) with n=464, k=16 and d=196.
This code was found by Heurico 1.16 in 61 seconds.