The generator matrix

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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+47x^48+176x^49+361x^50+684x^51+1006x^52+1974x^53+2230x^54+3536x^55+3960x^56+4674x^57+4194x^58+3698x^59+2275x^60+1818x^61+861x^62+582x^63+299x^64+210x^65+84x^66+34x^67+23x^68+8x^69+13x^70+10x^71+5x^72+4x^73+1x^74

The gray image is a code over GF(2) with n=456, k=15 and d=192.
This code was found by Heurico 1.16 in 16.7 seconds.