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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+220x^57+204x^58+296x^59+464x^60+708x^61+548x^62+576x^63+385x^64+312x^65+112x^66+104x^67+51x^68+68x^69+12x^70+16x^71+10x^72+4x^73+4x^74+1x^100

The gray image is a code over GF(2) with n=496, k=12 and d=228.
This code was found by Heurico 1.16 in 1.52 seconds.