The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  1  1  0  6  1 12  1 10  1  1  1  1  1 10  1  1  1  1  1  2  0  8  1  1  1  1  1  1  1 12  1 10  6  4 14
 0  1  3  6  5  1 15 12  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  6  3  5  1  1 12  1 10  1 15  9  6  3  5  1 11 13  0  8 14  1  1  1 12  4 10  2 12  6 15  1  1  1  1  4  1
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  0  8  8  0  8  0  8  0  0  8  8  8  0  8  8  8  8  8  0  0  0  0  8  0  8  0  8  0  0  8  8  0  0  0
 0  0  0  8  0  8  8  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  0  0  8  0  0  8  8  0  0  0  8  0  8  0  8  0
 0  0  0  0  8  0  8  8  8  8  0  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  8  0  0  8  0  8  8  0  0  8  8  0  8  8  8  0  8  0  0  0  8  0  0  0  0  0  8  8  0  8  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+152x^57+200x^58+268x^59+269x^60+304x^61+224x^62+296x^63+174x^64+120x^65+24x^66+12x^67+1x^68+1x^76+1x^80+1x^84

The gray image is a code over GF(2) with n=488, k=11 and d=228.
This code was found by Heurico 1.16 in 0.197 seconds.