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

generates a code of length 51 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+232x^47+30x^48+104x^49+240x^50+880x^51+208x^52+80x^53+16x^54+232x^55+16x^56+8x^57+1x^96

The gray image is a code over GF(2) with n=408, k=11 and d=188.
This code was found by Heurico 1.16 in 51.6 seconds.