The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  6 14  2  1
 0  1  3  6  5  1 15 12  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  1  5  9  3 11 13 15  9  7  1  3  5  3 11  0  8  1  1  8  6
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  0  8  8  0  0  0  8  0  8  8  0  8  0  0
 0  0  0  8  0  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  0  8  8  0  8  8  0  0  0  0  0  8  0  8  8  8  0  8  0  0  0
 0  0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  0  0  0  0  0  8  0  8  8  0  8  8  0  0  0  0  8  8  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+89x^50+236x^51+240x^52+336x^53+257x^54+360x^55+201x^56+208x^57+100x^58+12x^59+5x^60+1x^66+1x^76+1x^78

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 0.132 seconds.