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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+620x^57+700x^58+1602x^59+815x^60+1484x^61+782x^62+824x^63+282x^64+564x^65+179x^66+242x^67+37x^68+36x^69+17x^70+4x^71+1x^72+1x^74+1x^78

The gray image is a code over GF(2) with n=488, k=13 and d=228.
This code was found by Heurico 1.16 in 25.8 seconds.