The generator matrix

 1  0  0  1  1  1  2  2  1 14  1  4  1  1  1 12  1 14  8  1  1 10  0  1  1  1  4  1  1  2  1  1  1  4  6  6  1  1  1  6  1  1  1  1  1  1  1  4  2  1 14 12 10 10  1
 0  1  0  0  5 13  1  4  7  1  6  1 10  3 12  1 11  2  1 10 15  1 10 13 14  4 14 13 11  1  1 13 12  1  1 14 14  8  3  0  7 11  2  6  0  1  5  1  1  8  1  8  1  1  7
 0  0  1  3  3  4  7  1  7  2  3  7 14  0 10  6  1  1  1 13 14  4  1 15 12  5  1  8  2  1  6  1  0  2  7  1 15 13 13  1  3  4  9  8  6 14 15 12 13 14  6  1  1  4  2
 0  0  0  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  8  8  0  0  8  8  0  0  0  8  8  8  0  8  8  8  0  8  8  0  0  8  8  8  0  0  8  0  8  8  8  0  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  8  0  8  8  0  8  8  0  8  8  0  8  8  8  8  8  0  8  0  8  0  0  8  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+354x^50+1116x^51+1490x^52+1936x^53+2107x^54+2772x^55+2084x^56+1820x^57+1153x^58+884x^59+350x^60+144x^61+93x^62+20x^63+39x^64+4x^65+5x^66+8x^67+4x^68

The gray image is a code over GF(2) with n=440, k=14 and d=200.
This code was found by Heurico 1.16 in 2.15 seconds.