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  8  2  4  2  2  0  2 12  2  2  0  2  2  2  2  2  4  2  1  1
 0  2  0 14  0  6  0 10  4  6 12  2  4 14 12 10  8  6  8  2  8 14  8 10 12 14  4 10 12  6  4  2  6  2 10  2  8 14  2  2  2  0  4  0 12  6  2 14 10  4  0  6 14
 0  0 12  4  8 12  4  8  4  0  0  4 12  8  8 12  8  8  4 12  0  0 12  4 12 12  8  0  4  4  0  8  0  4  8 12 12  4  0  4  8 12  4  4 12  8 12  0  4  4  8  0  4

generates a code of length 53 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+116x^51+132x^52+128x^53+12x^54+48x^55+39x^56+16x^57+4x^58+12x^59+3x^60+1x^68

The gray image is a code over GF(2) with n=424, k=9 and d=204.
This code was found by Heurico 1.16 in 0.0945 seconds.