The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+156x^49+247x^50+614x^51+496x^52+924x^53+1106x^54+1328x^55+1030x^56+890x^57+470x^58+448x^59+146x^60+192x^61+58x^62+34x^63+20x^64+14x^65+7x^66+6x^67+2x^68+2x^71+1x^80

The gray image is a code over GF(2) with n=440, k=13 and d=196.
This code was found by Heurico 1.16 in 1.13 seconds.