The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^60+570x^61+1193x^62+2376x^63+3609x^64+5416x^65+6742x^66+8678x^67+8661x^68+8632x^69+6994x^70+5134x^71+3125x^72+2260x^73+1069x^74+578x^75+220x^76+120x^77+63x^78+18x^79+15x^80+8x^81+3x^82+1x^84+2x^85

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 40.9 seconds.