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  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  4  1  1  1  1  1  1  1  2  4  1
 0 12  0 12  0 12  0  4  8 12  0 12 12  0  8  4  8  4  4  0  0  8 12 12  0 12 12  0 12  4 12  0  8  0  8 12  0 12  4  4  0  8 12  4  8  8  8  0  8  8  4  4 12 12  0 12
 0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  0  8  0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  8
 0  0  0  8  0  0  0  8  0  0  0  8  0  0  0  8  0  0  8  8  8  0  0  8  8  0  8  8  0  0  8  8  0  8  0  8  8  8  0  8  8  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  0  8  8  0  8  0  0  0  8  8  8  8  0  8  0  0  8  8  8  0  8  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  8  0
 0  0  0  0  0  8  0  8  0  8  8  0  0  8  8  0  8  8  8  8  0  8  0  8  8  0  8  0  8  8  0  8  8  0  0  0  0  0  0  8  8  0  8  8  8  0  0  0  8  0  0  8  8  0  0  8
 0  0  0  0  0  0  8  0  8  0  8  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  8  0  8  8  8  8  8  8  8  8  8  0  0  8  0  8  0  8  8  0  8  0  0  8  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+57x^50+81x^52+64x^53+99x^54+128x^55+1256x^56+64x^57+185x^58+29x^60+33x^62+34x^64+10x^66+6x^68+1x^104

The gray image is a code over GF(2) with n=448, k=11 and d=200.
This code was found by Heurico 1.16 in 0.301 seconds.