The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  0  1  1  1  1
 0  2 12  6  0  6 12 10  6  0 10 12 10  8 14  4  6  0 12 10  6  0 12 14 10 10  0 12  6  0 12  2  8  8  4  6 14  4  2 10  2 10 10  2 12  4  8  0  8  0
 0  0  8  0  0  0  8  0  8  0  8  8  8  0  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  8  8  0  0  8  0  8  8  0  0  8  0  0  8  8  8  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  0  8  8  8  0  8  8  8  0  0  0  0  8  0  0  8  8  0  0  8  0  8  8  8  0  0
 0  0  0  0  8  0  8  8  8  0  0  8  8  8  8  0  8  8  0  8  0  0  0  8  8  0  8  0  0  8  8  0  0  8  8  0  0  0  8  0  8  0  0  0  0  8  0  8  0  8
 0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  8  0  0  0  8  8  0  8  8  0  8  8  8  0  8  0  0  0  0  0  0  0  0  8  8  0  8  0  8  0  8  0  0  8  8

generates a code of length 50 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+208x^46+158x^48+512x^49+352x^50+512x^51+64x^52+208x^54+32x^56+1x^96

The gray image is a code over GF(2) with n=400, k=11 and d=184.
This code was found by Heurico 1.16 in 0.654 seconds.