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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+234x^50+44x^51+100x^52+344x^53+640x^54+336x^55+82x^56+40x^57+194x^58+4x^59+8x^60+20x^62+1x^96

The gray image is a code over GF(2) with n=432, k=11 and d=200.
This code was found by Heurico 1.16 in 2.88 seconds.