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

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

Homogenous weight enumerator: w(x)=1x^0+48x^60+218x^61+330x^62+566x^63+577x^64+1066x^65+926x^66+1094x^67+838x^68+940x^69+443x^70+440x^71+288x^72+166x^73+82x^74+70x^75+38x^76+38x^77+5x^78+6x^79+2x^80+4x^81+4x^82+1x^86+1x^94

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 1.42 seconds.