The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+124x^43+660x^44+1604x^45+2895x^46+4892x^47+7675x^48+9534x^49+10406x^50+10274x^51+7614x^52+4820x^53+2862x^54+1194x^55+536x^56+288x^57+88x^58+26x^59+22x^60+8x^61+3x^62+2x^63+4x^64+2x^65+2x^66

The gray image is a code over GF(2) with n=400, k=16 and d=172.
This code was found by Heurico 1.16 in 34.1 seconds.