The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^61+559x^62+1112x^63+1785x^64+1998x^65+2029x^66+2052x^67+1967x^68+1694x^69+1177x^70+840x^71+534x^72+242x^73+207x^74+44x^75+31x^76+24x^77+25x^78+2x^80+2x^82+1x^86

The gray image is a code over GF(2) with n=536, k=14 and d=244.
This code was found by Heurico 1.16 in 3.02 seconds.