The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^55+546x^56+724x^57+684x^58+544x^59+508x^60+268x^61+230x^62+236x^63+148x^64+56x^65+53x^66+4x^68+1x^72+1x^82

The gray image is a code over GF(2) with n=472, k=12 and d=220.
This code was found by Heurico 1.16 in 0.219 seconds.