The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+214x^44+812x^45+1515x^46+2708x^47+3913x^48+4752x^49+5011x^50+5124x^51+3778x^52+2398x^53+1350x^54+710x^55+282x^56+92x^57+48x^58+32x^59+4x^60+10x^61+11x^62+2x^63+1x^66

The gray image is a code over GF(2) with n=400, k=15 and d=176.
This code was found by Heurico 1.16 in 7.31 seconds.