The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^57+568x^58+726x^59+686x^60+576x^61+426x^62+298x^63+262x^64+156x^65+100x^66+92x^67+89x^68+8x^69+9x^70+2x^72+1x^74

The gray image is a code over GF(2) with n=488, k=12 and d=228.
This code was found by Heurico 1.16 in 0.218 seconds.