The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+52x^50+58x^51+155x^52+224x^53+329x^54+490x^55+305x^56+200x^57+107x^58+22x^59+45x^60+24x^61+23x^62+6x^63+6x^64+1x^98

The gray image is a code over GF(2) with n=440, k=11 and d=200.
This code was found by Heurico 1.16 in 0.217 seconds.