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

generates a code of length 64 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+139x^60+148x^61+284x^62+288x^63+493x^64+216x^65+236x^66+60x^67+81x^68+32x^69+20x^70+20x^71+12x^72+4x^73+12x^74+1x^76+1x^108

The gray image is a code over GF(2) with n=512, k=11 and d=240.
This code was found by Heurico 1.16 in 0.35 seconds.