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

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

Homogenous weight enumerator: w(x)=1x^0+62x^46+82x^47+209x^48+328x^49+213x^50+58x^51+53x^52+12x^53+4x^54+1x^56+1x^94

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 0.0569 seconds.