The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+209x^48+392x^49+1020x^50+1600x^51+3377x^52+4664x^53+7846x^54+7912x^55+10905x^56+8788x^57+8176x^58+4388x^59+3110x^60+1568x^61+856x^62+304x^63+210x^64+76x^65+76x^66+4x^67+41x^68+10x^70+3x^72

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 43 seconds.