The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^43+163x^44+406x^45+613x^46+1582x^47+1366x^48+3086x^49+1868x^50+3076x^51+1436x^52+1578x^53+538x^54+368x^55+94x^56+42x^57+42x^58+28x^59+9x^60+8x^61+7x^62+2x^63+3x^64+2x^66+2x^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 2.74 seconds.