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

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

Homogenous weight enumerator: w(x)=1x^0+23x^50+48x^51+81x^52+150x^53+213x^54+326x^55+429x^56+354x^57+188x^58+94x^59+51x^60+22x^61+13x^62+10x^63+6x^64+14x^65+8x^66+2x^67+8x^68+4x^69+2x^70+1x^90

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 0.206 seconds.