The generator matrix

 1  0  1  1  1 14  1  1  2 12  1  1 12  1  1  1  1  1 10  1  1  6  8  1  1  1  4  2  1  1  1  8  1 14  1  1  1  0  1 14  2  4  1  2  1  1  8  8  1  1
 0  1  1  0  7  1  2 11  1  1  5 14  1 13  4  7  8  5  1  6  7  1  1  6  5 11  1  1  4 15  8  1  9  1  8 11  3  0 10  1 10  2 14  2  6  3  1  4  2 10
 0  0  2  6  2  4 14  0  2  6 12  0  8  0  6  8  0  6 14 12 10 12  6  6  2  8  0  6 12 14  4 12 10  6  2 10  0  2  4  8 14  2  6 14  0  0 12  2  2  6
 0  0  0 12  0  0 12  4  8  0  4  4  0  4  4 12 12  0  0 12  8 12 12  8 12  8 12  4  0  8 12  4 12 12  8 12  8  8  4  8  4  0  4  4  0  0  0  0  8  8
 0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0  8  0  8  8  0  0  8  0  0  8  8  0  8  8  0  0  0  0  8  0  0  8  8  8  0  8  8  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  0  8  8  8  8  0  8  8  0  0  0  8  0  8  8  0  8  0  8  0  8  0  0  0  0  0  8  8  8  8  8  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+94x^43+349x^44+920x^45+1503x^46+2682x^47+3363x^48+5364x^49+4537x^50+5166x^51+3324x^52+2760x^53+1357x^54+722x^55+302x^56+164x^57+79x^58+36x^59+19x^60+8x^61+12x^62+4x^63+2x^64

The gray image is a code over GF(2) with n=400, k=15 and d=172.
This code was found by Heurico 1.16 in 9.5 seconds.