The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  1  8  1 12  1  1  1  2  1  1  1  0  1  1  1  1 12  1  1  8  8  1 14  1  1  1  1  0  2  1  1  1  0  6 14  2  8  2  4  0  1  1  1
 0  1  1  6  1  3  5  4  1  2  1  7 13  1  4  1  6 13 10  1  3  2 12  1  7  6 15  5  1  0 15  1  1 10  1 13  8 10  4  0  1  1  4  8  1  1  1  1  1  1  1  1 11 14 11
 0  0  2  0  0  8  8 10  6 10 14 10  2  4 12  2 12  4  6  4 14  4  6  6  4  6  6  8  4  0  0 12  2  0  8 14  2 14 14  2 10  4 10  8  0  4  0 14  4  2 14 12  4 10 12
 0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  8  8  0  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  0  0  0  8  0  8  8  0  8  8  8  0  8  8  8  0  0
 0  0  0  0  8  0  8  0  0  8  8  8  0  0  8  8  0  0  8  8  8  8  0  8  8  8  0  8  0  8  8  8  0  0  0  8  8  0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  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+193x^50+370x^51+863x^52+1062x^53+1249x^54+1004x^55+1125x^56+940x^57+836x^58+210x^59+171x^60+90x^61+24x^62+12x^63+11x^64+20x^65+1x^66+4x^67+4x^68+1x^72+1x^78

The gray image is a code over GF(2) with n=440, k=13 and d=200.
This code was found by Heurico 1.16 in 0.796 seconds.