The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+153x^50+190x^51+373x^52+370x^53+821x^54+462x^55+762x^56+346x^57+259x^58+114x^59+97x^60+46x^61+73x^62+2x^63+15x^64+6x^65+5x^66+1x^90

The gray image is a code over GF(2) with n=440, k=12 and d=200.
This code was found by Heurico 1.16 in 0.454 seconds.