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

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

Homogenous weight enumerator: w(x)=1x^0+158x^57+137x^58+332x^59+178x^60+496x^61+235x^62+268x^63+44x^64+94x^65+35x^66+52x^67+8x^68+4x^69+1x^70+4x^71+1x^104

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 0.226 seconds.