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

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

Homogenous weight enumerator: w(x)=1x^0+212x^47+28x^48+84x^49+370x^50+700x^51+340x^52+72x^53+12x^54+204x^55+14x^56+4x^57+2x^58+4x^59+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 27.6 seconds.