The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+399x^50+904x^51+1232x^52+1444x^53+1104x^54+1052x^55+671x^56+560x^57+354x^58+216x^59+158x^60+44x^61+45x^62+4x^63+2x^64+1x^66+1x^70

The gray image is a code over GF(2) with n=432, k=13 and d=200.
This code was found by Heurico 1.16 in 0.596 seconds.