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

generates a code of length 64 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+196x^59+137x^60+476x^61+312x^62+668x^63+712x^64+672x^65+240x^66+308x^67+82x^68+140x^69+24x^70+68x^71+22x^72+24x^73+8x^75+4x^76+1x^80+1x^108

The gray image is a code over GF(2) with n=512, k=12 and d=236.
This code was found by Heurico 1.16 in 9.49 seconds.