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

generates a code of length 51 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+35x^48+232x^49+27x^50+448x^51+28x^52+208x^53+36x^54+8x^57+1x^98

The gray image is a code over GF(2) with n=408, k=10 and d=192.
This code was found by Heurico 1.16 in 0.125 seconds.