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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+61x^52+328x^54+256x^55+315x^56+56x^58+6x^60+1x^108

The gray image is a code over GF(2) with n=440, k=10 and d=208.
This code was found by Heurico 1.16 in 0.176 seconds.