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

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

Homogenous weight enumerator: w(x)=1x^0+40x^52+56x^53+184x^54+464x^55+185x^56+56x^57+32x^58+5x^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 0.162 seconds.