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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+166x^61+359x^62+498x^63+685x^64+1036x^65+957x^66+1244x^67+824x^68+928x^69+445x^70+366x^71+274x^72+144x^73+109x^74+60x^75+44x^76+30x^77+9x^78+8x^79+4x^80+1x^102

The gray image is a code over GF(2) with n=536, k=13 and d=244.
This code was found by Heurico 1.16 in 1.3 seconds.