The generator matrix

 1  0  1  1  1  6  1  1  1  0  1  6  1  0  1  1  6  1 12  1  1  1  1  8 14  1  1  1 14  1  1  1  4  1  8  1  1 10  1  1  1  1  1  1  2  1  2  1  1 12  1  2  1  1  1  1 14  0  1  1  0  1  8  1  1  1  8  1  1  1
 0  1 11  6  1  1 12 13  2  1  7  1  8  1  3 14  1  5  1  3  8 14 13  1  1  6 11  8  1 15  5 10  1  3  1  4  6  1 13  4 15  7  5  0  1  0  1 11 10  1  3  1 12  9  9 12  1  1 13 11  2  0  1 10  3  3  1  2  4  1
 0  0 12  0  0  0  0  0  0  0  4  8  4  4  8 12 12  4 12  4  4  8  8  4  4 12  4  0  0  8  8  0  4  8 12  4  8  0 12  8  4  4  4  4  0 12 12  0  0  4  4 12  0  0  4 12  8  4  8  8  4  0  8  4  8  0 12  0  4  8
 0  0  0 12  0  0  0  0  4  4  0 12  4  4 12  4  8 12  4  4  8  0 12  0  4  8 12  8  4  8  0 12  8 12  4  8  0  0  0  8 12  0  0  4  8  0 12  8  0 12  8  0 12  8  0 12  0 12 12  8  4  8 12  4  4  4  8 12  8  8
 0  0  0  0  4  0  8  4  8 12  8 12  4  0  4 12  4  8  0  0  0  4  0  4  4 12 12  4  8  0  8 12  8  4 12  8  0  0  4  4  0  4 12  8 12  0  4  8  0  8 12  8 12  8  8 12  4  4  8  4  8 12 12  0  8 12  0  0  4  4
 0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  0  0  0  8  8  0  8  8  8  0  0  8  0  0  0  8  0  0  0  8  0  8  0  0  8  0  0  8  0  8  8  0  8  0  8  8  0  8  0  8  8  0  8  0  8  8  8  0  0  8  0  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+209x^62+140x^63+646x^64+820x^65+1843x^66+2572x^67+3803x^68+4120x^69+4684x^70+4232x^71+3598x^72+2500x^73+1777x^74+844x^75+544x^76+112x^77+150x^78+20x^79+81x^80+30x^82+24x^84+9x^86+5x^88+2x^90+1x^92+1x^96

The gray image is a code over GF(2) with n=560, k=15 and d=248.
This code was found by Heurico 1.16 in 24.4 seconds.