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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+206x^48+640x^50+160x^52+16x^56+1x^96

The gray image is a code over GF(2) with n=400, k=10 and d=192.
This code was found by Heurico 1.16 in 13 seconds.