The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+95x^62+524x^63+945x^64+2772x^65+3078x^66+6304x^67+5832x^68+9888x^69+7017x^70+9944x^71+5837x^72+6424x^73+2554x^74+2304x^75+990x^76+608x^77+147x^78+124x^79+70x^80+20x^81+32x^82+18x^84+5x^86+3x^88

The gray image is a code over GF(2) with n=560, k=16 and d=248.
This code was found by Heurico 1.16 in 43.3 seconds.