The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^60+922x^61+2426x^62+4754x^63+7791x^64+10486x^65+13375x^66+16458x^67+17354x^68+17594x^69+14222x^70+10780x^71+7115x^72+3866x^73+2149x^74+950x^75+382x^76+204x^77+42x^78+30x^79+19x^80+10x^82+4x^83

The gray image is a code over GF(2) with n=544, k=17 and d=240.
This code was found by Heurico 1.16 in 164 seconds.