The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+318x^60+616x^61+1350x^62+2104x^63+3804x^64+4808x^65+7222x^66+7668x^67+9937x^68+7656x^69+7554x^70+4652x^71+3516x^72+2024x^73+1156x^74+508x^75+312x^76+128x^77+104x^78+44x^79+27x^80+18x^82+5x^84+4x^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 79.9 seconds.