The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+195x^50+442x^51+784x^52+1236x^53+971x^54+1206x^55+994x^56+968x^57+684x^58+390x^59+130x^60+80x^61+52x^62+26x^63+18x^64+9x^66+4x^69+1x^70+1x^72

The gray image is a code over GF(2) with n=440, k=13 and d=200.
This code was found by Heurico 1.16 in 0.811 seconds.