The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+560x^58+924x^59+1163x^60+1320x^61+1176x^62+932x^63+718x^64+488x^65+338x^66+220x^67+169x^68+80x^69+84x^70+4x^71+13x^72+2x^74

The gray image is a code over GF(2) with n=496, k=13 and d=232.
This code was found by Heurico 1.16 in 1.83 seconds.