The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^58+578x^59+616x^60+812x^61+515x^62+450x^63+257x^64+268x^65+162x^66+160x^67+60x^68+60x^69+25x^70+8x^71+1x^72+1x^74+1x^76+1x^78

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 0.234 seconds.