The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+504x^55+896x^56+1374x^57+1145x^58+1210x^59+865x^60+786x^61+398x^62+478x^63+297x^64+136x^65+38x^66+48x^67+5x^68+8x^69+2x^70+1x^74

The gray image is a code over GF(2) with n=472, k=13 and d=220.
This code was found by Heurico 1.16 in 1.59 seconds.