The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  0  1  1  1  1  1  1  1  1  0
 0  2  0  6  8  6  0 10  4  6 12  2  4  2  4 14  0  6  4  2  0  2  8 10  0  2 10 12  4 10  4  6  8 14  6 12  2 12  2 12  8  2 12  0  0 14  6  6 14 14  2  8  6 10  8  4  4  4  0  0  2
 0  0 12  0  0  4  4 12  4  8 12  8  0  4  0 12 12  0  8 12  8  4  4  0  4  0 12  8 12  8  0 12  8 12  8  4  8 12  0  8  0  4 12  4  8  0  4  4  8  0  4  0 12  8 12  8  4  0 12  0 12
 0  0  0 12  4 12  4  0  0  0  4 12  4 12  0  0 12  8  8  4 12  8  8  4 12 12  8  0  0  8 12 12  0  8 12  4  0  8  8 12  8  4 12  0  4  0  8  4  4 12  0  0  4  4  4  4  8  8  8 12 12

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

Homogenous weight enumerator: w(x)=1x^0+120x^57+108x^58+280x^59+413x^60+408x^61+300x^62+200x^63+25x^64+48x^65+48x^66+96x^67+1x^116

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 42.9 seconds.