The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+290x^52+348x^53+381x^54+268x^55+239x^56+180x^57+165x^58+68x^59+65x^60+32x^61+4x^62+1x^66+5x^68+1x^70

The gray image is a code over GF(2) with n=440, k=11 and d=208.
This code was found by Heurico 1.16 in 0.107 seconds.