The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+268x^57+488x^58+662x^59+460x^60+584x^61+410x^62+516x^63+326x^64+184x^65+92x^66+58x^67+12x^68+20x^69+12x^71+2x^78+1x^80

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 0.399 seconds.