The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+74x^48+120x^49+232x^50+518x^51+645x^52+1862x^53+2091x^54+6116x^55+5576x^56+11734x^57+7430x^58+11994x^59+5436x^60+6294x^61+2205x^62+1742x^63+587x^64+422x^65+171x^66+104x^67+79x^68+44x^69+23x^70+6x^71+18x^72+4x^73+6x^74+1x^78+1x^82

The gray image is a code over GF(2) with n=464, k=16 and d=192.
This code was found by Heurico 1.16 in 45.5 seconds.