The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  6 12  4 14  8 10  2  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  6  3  9 12 14 15  5 10  8  4  2 11 13  7  1  1  1  1  1  1  1  1  1  0  8 14  6  8  4  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  8  0  8  0  8  0  8  0  8  8  0  8  0  8  8  0  0  8  8  0  0  8  8  0  8  0  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  0  0  8  8  0  8  0  8  0  0  8  8  8  0  0  8  0  0  8  8  0  0  8  0  8  8  0  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+24x^52+328x^53+38x^54+240x^55+38x^56+328x^57+24x^58+1x^64+2x^78

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 0.0773 seconds.