The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+54x^50+204x^51+450x^52+564x^53+606x^54+400x^55+588x^56+560x^57+406x^58+164x^59+48x^60+28x^61+8x^62+7x^64+4x^66+2x^70+1x^72+1x^80

The gray image is a code over GF(2) with n=440, k=12 and d=200.
This code was found by Heurico 1.16 in 0.311 seconds.