The generator matrix

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

generates a code of length 68 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+349x^60+568x^61+1411x^62+2130x^63+3638x^64+5174x^65+6884x^66+8008x^67+9159x^68+8190x^69+7192x^70+5088x^71+3487x^72+1928x^73+1204x^74+490x^75+332x^76+126x^77+107x^78+26x^79+22x^80+14x^81+2x^83+4x^84+2x^86

The gray image is a code over GF(2) with n=544, k=16 and d=240.
This code was found by Heurico 1.16 in 52.4 seconds.