The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+53x^48+356x^49+748x^50+2040x^51+2788x^52+5234x^53+7147x^54+9548x^55+9722x^56+9474x^57+7324x^58+5446x^59+2696x^60+1770x^61+608x^62+354x^63+88x^64+58x^65+38x^66+18x^67+12x^68+4x^69+5x^70+2x^71+2x^74

The gray image is a code over GF(2) with n=448, k=16 and d=192.
This code was found by Heurico 1.16 in 31.9 seconds.