The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+642x^50+640x^51+821x^52+452x^53+538x^54+280x^55+313x^56+132x^57+204x^58+32x^59+38x^60+2x^64+1x^68

The gray image is a code over GF(2) with n=424, k=12 and d=200.
This code was found by Heurico 1.16 in 93.9 seconds.