The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^43+394x^44+688x^45+1557x^46+2602x^47+3684x^48+4832x^49+5218x^50+4774x^51+3682x^52+2572x^53+1364x^54+614x^55+378x^56+120x^57+78x^58+36x^59+20x^60+12x^61+7x^62+8x^63+1x^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 9.51 seconds.