The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^62+104x^63+259x^64+738x^65+698x^66+1578x^67+1307x^68+2818x^69+1626x^70+2470x^71+1310x^72+1804x^73+633x^74+566x^75+166x^76+128x^77+60x^78+18x^79+17x^80+10x^81+12x^82+7x^84+6x^85+6x^86+4x^88+1x^90+2x^94+1x^96

The gray image is a code over GF(2) with n=560, k=14 and d=248.
This code was found by Heurico 1.16 in 4.18 seconds.