The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+396x^58+328x^59+718x^60+456x^61+404x^62+432x^63+668x^64+304x^65+320x^66+8x^67+18x^68+8x^69+20x^70+1x^72+12x^74+1x^80+1x^88

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 1.63 seconds.