The generator matrix

 1  0  0  1  1  1  8 12  1  1 10  1  1  1  1  8  8  6  1  6  1  1  4  1  2  1  1 10  1 14  2  1 12  1  1  6 12  1  1  1  1  1 14  1  1  1 12  0  1 12  6  2  4  8  2  1  4  1  1  1 10  6  1 10  0  1  1
 0  1  0  0  5  3  1  4 15 10  1 12  6  7  1  1  1  8  9  1  4 11  1  6  1 10  1 14 14  1  4  5  1  6 11  1  2 15  0  4  7 12  1 12  9 15  1  1  6  0 10  1  6  1  1  0  1  3  1 15  8  1  4  1  2  2 10
 0  0  1  1  1  0  5  1 11 11  8 14  9 10  3  7  2  1 14 15 10  8 10  6  7 13  9  1 10  1  1  0 12 15  7  2  1  8  0 15 14 15  2  9 15 10  3  6  4  1  1  9  1  2 12 11 11  7 14 11  1  9  5 14  6  0  2
 0  0  0  2 10  8 10  2 14  6  0  4  2  4 14  6  4 10 10  0 14  6 10  6 10  4  0  6  8 12  4 12 10  0  4  8 14 12 14  8  0 10 10 12  2 10  4  0  2 14  8  2  0  2 12  4  8  0 12  0 14  4  2  8  2  4  2

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

Homogenous weight enumerator: w(x)=1x^0+440x^61+1305x^62+2314x^63+2726x^64+3580x^65+4115x^66+4376x^67+4013x^68+3520x^69+2543x^70+1838x^71+1030x^72+542x^73+187x^74+100x^75+57x^76+44x^77+16x^78+12x^79+5x^80+2x^81+2x^82

The gray image is a code over GF(2) with n=536, k=15 and d=244.
This code was found by Heurico 1.16 in 10.5 seconds.