The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1 12  1  1 10  1  1  6  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8 14  4  2  8 14  4  2  1  1  2
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  8 14 11 13  4  2  7  1  8 14  4  2 11 13  7  1  1  1  1  1  1  1  1  1  0  6  6
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  0  0  8  0  8  0  8  8  0  0  8  8  0  8  0  0  8  0  8  8  0  0  8  0

generates a code of length 51 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+110x^50+288x^51+108x^52+2x^54+1x^64+2x^68

The gray image is a code over GF(2) with n=408, k=9 and d=200.
This code was found by Heurico 1.16 in 0.0737 seconds.