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

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

Homogenous weight enumerator: w(x)=1x^0+154x^56+286x^57+519x^58+816x^59+875x^60+1058x^61+1027x^62+1144x^63+801x^64+600x^65+330x^66+180x^67+152x^68+94x^69+75x^70+36x^71+24x^72+10x^73+9x^74+1x^92

The gray image is a code over GF(2) with n=496, k=13 and d=224.
This code was found by Heurico 1.16 in 1.12 seconds.