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

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

Homogenous weight enumerator: w(x)=1x^0+142x^50+100x^51+287x^52+304x^53+444x^54+280x^55+290x^56+64x^57+70x^58+4x^59+40x^60+16x^61+4x^64+1x^68+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 0.165 seconds.