The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^43+646x^44+1494x^45+3568x^46+4864x^47+7493x^48+9152x^49+10933x^50+9068x^51+8216x^52+4826x^53+2913x^54+1242x^55+636x^56+228x^57+135x^58+20x^59+14x^60+12x^61+3x^62+2x^63+2x^64

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 28 seconds.