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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+199x^56+4x^57+270x^58+152x^59+620x^60+508x^61+638x^62+592x^63+403x^64+252x^65+266x^66+24x^67+98x^68+4x^69+42x^70+21x^72+1x^76+1x^108

The gray image is a code over GF(2) with n=496, k=12 and d=224.
This code was found by Heurico 1.16 in 1.24 seconds.