The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+284x^51+326x^52+376x^53+301x^54+250x^55+160x^56+216x^57+49x^58+42x^59+24x^60+12x^61+4x^63+1x^66+1x^68+1x^74

The gray image is a code over GF(2) with n=432, k=11 and d=204.
This code was found by Heurico 1.16 in 0.125 seconds.