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

generates a code of length 53 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+32x^50+24x^51+92x^52+284x^53+28x^54+4x^55+8x^56+4x^57+28x^58+4x^59+2x^68+1x^72

The gray image is a code over GF(2) with n=424, k=9 and d=200.
This code was found by Heurico 1.16 in 0.0962 seconds.