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  1  1  1  1  1  1
 0 12  0 12  0 12  0 12 12  0 12  0  4  8  4  8  0 12  8  4 12  0  8  4  0 12  0 12  8  4  8  4  0 12  0  8  8 12  4  4  0  8  0  8  8 12 12  4  4  8
 0  0  8  0  0  0  8  0  8  0  8  0  0  8  0  8  0  0  0  8  0  8  8  8  0  8  8  8  8  8  0  8  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  8  0  8  0  8  8  8  0  8  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0
 0  0  0  0  8  0  8  8  8  0  0  8  8  0  8  8  8  8  0  8  0  0  8  0  8  0  8  8  0  0  0  8  0  8  0  8  8  8  0  0  0  0  8  0  8  0  0  8  0  0
 0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  8  0  8  0  8  8  0  0  8  8  0  8  0  8  0  8  0  8  0  0  8  0  0  0  0  8  0  8  0  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+32x^46+47x^48+864x^50+47x^52+32x^54+1x^100

The gray image is a code over GF(2) with n=400, k=10 and d=184.
This code was found by Heurico 1.16 in 0.0979 seconds.