The generator matrix

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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+150x^50+460x^51+1016x^52+1388x^53+1806x^54+2300x^55+2395x^56+2312x^57+1764x^58+1264x^59+798x^60+340x^61+166x^62+100x^63+57x^64+24x^65+18x^66+4x^67+14x^68+7x^72

The gray image is a code over GF(2) with n=448, k=14 and d=200.
This code was found by Heurico 1.16 in 2.96 seconds.