The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^43+300x^44+484x^45+880x^46+1070x^47+2106x^48+1922x^49+2687x^50+1954x^51+2169x^52+1116x^53+750x^54+356x^55+209x^56+106x^57+91x^58+28x^59+15x^60+20x^61+5x^62+2x^63+2x^66+1x^70

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 3.98 seconds.