The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+14x^56+104x^57+314x^58+392x^59+334x^60+592x^61+594x^62+608x^63+379x^64+376x^65+232x^66+88x^67+38x^68+16x^69+10x^70+2x^74+2x^88

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 0.305 seconds.