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

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

Homogenous weight enumerator: w(x)=1x^0+349x^60+24x^61+880x^62+312x^63+1276x^64+688x^65+1376x^66+688x^67+1187x^68+312x^69+602x^70+24x^71+284x^72+108x^74+64x^76+10x^78+5x^80+1x^88+1x^96

The gray image is a code over GF(2) with n=528, k=13 and d=240.
This code was found by Heurico 1.16 in 1.48 seconds.