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  2  1  1  1  1  1  4  1  1  4  2  0  1  2  1  2
 0 12  0  4  0  0  4  4  8  8  4 12  0  0  4  4  8  4  8  4 12  0  0  4 12  4  0  0  8 12  8 12  0  8  8  0 12  4 12  4  8  0  8  0  4 12  4 12  8  4  0 12 12 12  0
 0  0 12  4  0 12 12  0  8  4  4  0  8 12 12  0  8  4 12  8  8 12  0 12  0  0  0  8  4 12 12  4  0  4  8 12  8  0  0  4 12  8  0  4 12  8  4 12  4 12  4 12  0  0  8
 0  0  0  8  0  0  8  0  0  8  0  8  8  0  0  8  8  8  0  8  0  8  0  8  8  0  8  8  8  0  8  0  0  0  0  0  8  8  8  0  8  0  0  8  0  0  8  8  8  8  8  0  0  0  8
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  8  8  8  8  0  8  0  8  8  8  0  0  0  0  8  8  0  8  8  8  8  8  0  8  8  0  0  0  0  0  8  0  0  0  0
 0  0  0  0  0  8  8  8  8  8  0  8  0  8  8  0  8  8  0  8  0  0  8  0  0  8  0  8  8  0  0  8  8  0  8  0  8  8  0  0  0  0  0  0  0  0  8  0  0  8  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+134x^50+130x^52+128x^53+514x^54+256x^55+530x^56+128x^57+130x^58+30x^60+46x^62+12x^64+8x^66+1x^96

The gray image is a code over GF(2) with n=440, k=11 and d=200.
This code was found by Heurico 1.16 in 45.7 seconds.