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  2  1  2  1  1  2  1  2  2  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  2  1  1
 0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  0  8  8  8  0  8  0  8  8  8  0  0  8  0  8  8  0  8  8  0  8  8  0  0  8  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  0  0  8  0  8  0  8  0  0  0  0  0  8  8  8  0  8  0  0  8  8  8  0  0  8  0  8  0  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  8  8  0  8  8  0  0  0  0  8  0  0  8  8  8  0  0  8  8  0  0  0  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  0  8  8  8  8  8  0  0  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  8  0  0  0  8  8  0  0  0  0  8  8  8  0  8  8  0  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  8  0  8  8  0  0  0  0  0  8  0  8  0  8  8  0  8  8  0  0  0  8  8  0  0  8  0  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  0  8  0  0  8  8  8  8  0  8  0  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  8  0  0  8  0  0  8  8  0  8  0  8  0  8  0  0  0  0  8  8  8  0  0  8  0  8  8  0  0  0

generates a code of length 50 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+65x^40+121x^44+72x^46+212x^48+3192x^50+209x^52+56x^54+81x^56+8x^58+49x^60+25x^64+4x^68+1x^84

The gray image is a code over GF(2) with n=400, k=12 and d=160.
This code was found by Heurico 1.16 in 0.438 seconds.