The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+64x^48+152x^49+188x^50+572x^51+424x^52+1112x^53+936x^54+1480x^55+900x^56+1084x^57+320x^58+556x^59+98x^60+144x^61+60x^62+16x^63+34x^64+4x^65+28x^66+14x^68+4x^70+1x^80

The gray image is a code over GF(2) with n=440, k=13 and d=192.
This code was found by Heurico 1.16 in 1.24 seconds.