The generator matrix

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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+266x^58+510x^59+618x^60+448x^61+557x^62+418x^63+546x^64+450x^65+195x^66+8x^67+14x^68+14x^69+32x^70+8x^71+4x^72+4x^74+1x^80+1x^82+1x^86

The gray image is a code over GF(2) with n=496, k=12 and d=232.
This code was found by Heurico 1.16 in 0.352 seconds.