The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+388x^50+926x^51+1728x^52+1714x^53+2526x^54+2348x^55+2398x^56+1584x^57+1303x^58+650x^59+496x^60+146x^61+97x^62+40x^63+13x^64+12x^65+5x^66+4x^67+4x^68+1x^70

The gray image is a code over GF(2) with n=440, k=14 and d=200.
This code was found by Heurico 1.16 in 2.34 seconds.