The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  1  1  1  1  1  1  1  2  1  1  0  1  2  1  1  1  1  2  1  1  4  1  1
 0  2  0  2  8  0 10  2  4  6  4 14  4 14 12 14  0  8 10 14 10  0  4  2 10 12  6  0  4 14  4 14 10  2  8  2 12  4 12  6  6 14  0  6  6  8  2 14  8 10  4 12  0  2  8  6  2 14  2
 0  0  2  2  4  6  6  4  4 14  2 12  6 10  0  8  0  2 14  4  2 12 10  4  8  4 10 14 14 14  8  8  0 12  2  6  8  0  6  8  8 14  6 14  6  4  6  2 14  4 14 12  2 10 12  6  0  0  0
 0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  0  0  0  0  0  0  0  0  8  8  0  8  8  0  8  8  0  0  8  8  8  0  8  8  0  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+144x^55+104x^56+312x^57+288x^58+448x^59+285x^60+236x^61+64x^62+68x^63+22x^64+60x^65+12x^67+3x^68+1x^104

The gray image is a code over GF(2) with n=472, k=11 and d=220.
This code was found by Heurico 1.16 in 0.487 seconds.