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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+66x^60+184x^61+213x^62+236x^63+598x^64+364x^65+838x^66+368x^67+570x^68+208x^69+190x^70+150x^71+56x^72+6x^73+22x^74+12x^75+4x^76+4x^77+2x^79+1x^80+2x^81+1x^110

The gray image is a code over GF(2) with n=528, k=12 and d=240.
This code was found by Heurico 1.16 in 0.702 seconds.