The generator matrix

 1  0  0  1  1  1  6  1  1  6  1  8  4  1  4 14  2  1  1  1  1  1  2 14  1  2  1  1 14  1  2  1  1  1  1 14  1  2  1  1  1  1 14  1 12  1  1 12  1  1  0  1  1  1  6  1
 0  1  0  2  1 11  1 14 13  1  3  1  2  8  1  1  2 13  0  6  9 10  1  1 13 10  7 12  4 11  1  6  5  5  2  1  6  1  9  4 13 11  1  7  1 14  8  6  2 14 14  3  9  6  1  0
 0  0  1  1  5  4  1  4  4  0  7  5  1  3  2  3  1  3  1 14  2  3 14  7 11  1 10  4  1  0 10  9 12  1 14 13  4 12 15 14  0  4  3  4 15 15 14  1 11  6  1 15  9  4  3  0
 0  0  0  4  4  0 12  8  8  8 12 12  0 12  0 12  0 12  4  4 12  0 12  8  0  4 12  4  4  4 12  0  4  8  0  0  8  0  8  8 12  8  8  0  8  0  0 12  8  8  4  8 12 12  0  0
 0  0  0  0  8  0  8  0  0  0  8  8  0  0  8  0  8  0  8  0  8  8  8  8  0  8  0  8  0  0  0  0  0  8  8  0  8  8  8  0  0  8  8  8  0  0  8  0  0  8  0  8  0  0  0  0
 0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  8  0  0  8  8  8  8  8  8  8  8  0  0  0  8  8  0  0  8  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  0  0  8  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+33x^48+296x^49+949x^50+1816x^51+3235x^52+4970x^53+7292x^54+9212x^55+10172x^56+8980x^57+7593x^58+4876x^59+3074x^60+1642x^61+767x^62+398x^63+118x^64+40x^65+32x^66+16x^67+7x^68+8x^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 32.2 seconds.