The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^60+376x^61+1302x^62+2358x^63+3488x^64+5426x^65+6501x^66+9038x^67+8346x^68+9240x^69+6805x^70+5236x^71+3348x^72+2032x^73+931x^74+434x^75+282x^76+130x^77+65x^78+18x^79+19x^80+10x^81+12x^82+4x^83+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 41.8 seconds.