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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+256x^61+114x^62+476x^63+342x^64+632x^65+656x^66+572x^67+309x^68+328x^69+86x^70+192x^71+17x^72+64x^73+4x^74+36x^75+2x^76+4x^78+4x^79+1x^108

The gray image is a code over GF(2) with n=528, k=12 and d=244.
This code was found by Heurico 1.16 in 25.8 seconds.