The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^43+403x^44+774x^45+1593x^46+2364x^47+3919x^48+4416x^49+5578x^50+4762x^51+4088x^52+2194x^53+1363x^54+616x^55+367x^56+112x^57+68x^58+44x^59+19x^60+6x^61+6x^62+8x^63+3x^64+2x^69

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 9.07 seconds.