The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+270x^50+344x^51+372x^52+296x^53+250x^54+188x^55+194x^56+48x^57+42x^58+20x^59+16x^60+4x^62+2x^66+1x^72

The gray image is a code over GF(2) with n=424, k=11 and d=200.
This code was found by Heurico 1.16 in 0.097 seconds.