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  4  2  1  2  1  1  0  1  1  4  1 12  1  1  1  1 12  2  1  1  1  8  2  8  1  1  1  8  2  1  2  1 12  1  1  1  1  1  8  1
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4  6  4  6  4 14 12  2  6  0  0  2  2 12  2  6  8 10  2 12  6  2  0  2 12 12  6 14  2 14  4 12  2  2  8  8 14  0 12  2  6  6 10 10  2  2  0 10  4 12 12  0
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  8  4 10 10  4  4  8  6  6 10  8 12 10 14 14  4 14  8 12 12  8  6  6 12 12  2  0  2  6  6 12 10 14  6  2 14  8  2  0  4 12  4 12 12 14  4 10  0  2  2 14
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12  8  4  8  0 12 12  0  8  4  0  8  0 12  8 12  8  8 12 12  4 12  0  0  4  0  0  4  4  4  0  0 12  4 12  8  8  4  4  8  8  0  0  4  4  8  8  8  8  0  4
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  8  0  0  8  0  8  8  8  8  0  0  0  8  0  0  8  0  0  8  0  8  0  8  0  8  8  0  0  8  0  0  8  0  8  8  0  0  8  0  8  8  8  0  8  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+201x^60+320x^61+530x^62+608x^63+1063x^64+840x^65+1394x^66+748x^67+1061x^68+468x^69+334x^70+200x^71+182x^72+96x^73+46x^74+44x^75+29x^76+4x^77+16x^78+6x^80+1x^100

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 6.18 seconds.