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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+104x^46+414x^48+432x^50+32x^52+40x^54+1x^96

The gray image is a code over GF(2) with n=392, k=10 and d=184.
This code was found by Heurico 1.16 in 0.095 seconds.