The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+87x^48+380x^49+566x^50+1100x^51+1158x^52+1926x^53+1812x^54+2546x^55+1851x^56+1938x^57+1042x^58+828x^59+438x^60+346x^61+160x^62+132x^63+48x^64+18x^65+4x^66+2x^71+1x^72

The gray image is a code over GF(2) with n=440, k=14 and d=192.
This code was found by Heurico 1.16 in 3.93 seconds.