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  4  4  2  1
 0 12  0  4  0  0  4 12  0  0  4 12  8 12  8  4  0  8  4  4 12 12  8  8  8 12  0  4  4  4  8  8  4  8  8  4  4 12  0  0  8  4  8 12  0  0  4 12  0  4
 0  0 12  4  0 12  4  0  0 12 12  8  8  4  4  0  0 12  8 12 12  8  0 12  4  8  8  4 12  8  8  4  0 12  0  0 12  4  8  4  0  0 12  4  4  4  4  8 12  4
 0  0  0  8  0  0  8  0  8  8  0  8  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  0  0  8  0  8  0  0  0  0  8  8  0  8  0  0  0
 0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  8  0  8  8  0  8  8  0  0  0  8  0  0  0  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+17x^46+44x^47+113x^48+152x^49+384x^50+160x^51+104x^52+8x^53+14x^54+20x^55+6x^56+1x^94

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 0.096 seconds.