The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  2  2  2  1  1  1  1  1  1  1  4  0  2  2  4  0  2  2  4  4  4  4  2  2  8  8  4  1  1  4  1
 0 12  0 12  8  4  8  4  0 12  0 12  8  4  8  4 12 12  4  0  4  0  8 12  8  4  0  8 12  4 12  4  0  8 12  4 12 12  0  8  4  4  4  4  4  4  8  0  0  0  8
 0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  0  8  8  0  0  0  8  8  8  8  0  8  0  0  8  0  0  8  8  8  8  0  8  0  8  0  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+6x^50+104x^51+6x^52+1x^54+8x^55+1x^56+1x^62

The gray image is a code over GF(2) with n=408, k=7 and d=200.
This code was found by Heurico 1.16 in 0.0772 seconds.