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  0  1  1  8  1  1  2  0  4  0
 0  2  0  6  8  6  0 10  4 10 12  6  4 14  4 10  4  6  0 14 12  4  6 10  8  4  6  2  0  2  0 10 12 10 14  8 12  6  4  4 14  2 14  8  2  8  8  2  6 14  6  2  2  2
 0  0 12  0  0  4  4 12  4 12 12  4  0  0  0  0  8  8  4 12  8  4 12  8  4  0  4  8  8  4 12  8  4 12  8  8 12 12  4  0  4  0  8 12 12  0  8  0  8 12  0 12  0  0
 0  0  0 12  4 12  4  0  0 12  4  0  4  8  0  4 12  8  8  0  8 12 12  4  0 12  4 12  0  8  4  8  8  4  4  4  0  8  4  8  8 12  0 12 12 12  8 12  0  4  0  4 12  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+32x^51+154x^52+352x^53+534x^54+352x^55+118x^56+32x^57+214x^58+14x^60+10x^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 20.4 seconds.