The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+297x^50+216x^51+1076x^52+648x^53+1477x^54+848x^55+1536x^56+624x^57+915x^58+216x^59+258x^60+8x^61+41x^62+6x^64+14x^66+2x^68+6x^70+2x^74+1x^80

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 41.6 seconds.