The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+147x^62+1108x^63+2485x^64+4698x^65+7679x^66+11094x^67+13222x^68+16432x^69+17204x^70+16450x^71+14218x^72+11268x^73+6865x^74+4222x^75+2128x^76+1092x^77+514x^78+134x^79+38x^80+42x^81+4x^82+12x^83+2x^84+4x^85+3x^86+4x^87+2x^88

The gray image is a code over GF(2) with n=560, k=17 and d=248.
This code was found by Heurico 1.16 in 169 seconds.