The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^43+275x^44+634x^45+770x^46+1342x^47+1736x^48+2276x^49+2248x^50+2352x^51+1620x^52+1298x^53+700x^54+500x^55+256x^56+138x^57+50x^58+42x^59+13x^60+4x^61+6x^62+6x^63+3x^64+2x^65+2x^66

The gray image is a code over GF(2) with n=400, k=14 and d=172.
This code was found by Heurico 1.16 in 3.75 seconds.