The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  6  8 10  2 14 12  4  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  6 12 14  3  5 11 13  8 10  4  2 15  7  9  1  1  1  1  1  1  1  1  1  0  8  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  8  0  0  8  8  8  0  0  8  0  8  0  8  8  8  8  0  0  8  0  0  8  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  0  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  0  0  8  8  0  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+38x^48+352x^49+24x^50+192x^51+24x^52+352x^53+38x^54+1x^64+2x^70

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 0.0604 seconds.