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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+53x^60+142x^61+341x^62+500x^63+710x^64+982x^65+955x^66+1202x^67+824x^68+946x^69+532x^70+406x^71+214x^72+82x^73+130x^74+62x^75+49x^76+24x^77+23x^78+6x^79+3x^80+2x^82+2x^84+1x^98

The gray image is a code over GF(2) with n=536, k=13 and d=240.
This code was found by Heurico 1.16 in 1.52 seconds.