The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^62+204x^63+710x^64+920x^65+2238x^66+1908x^67+4420x^68+3052x^69+5654x^70+3284x^71+4392x^72+1892x^73+1992x^74+716x^75+569x^76+276x^77+236x^78+32x^79+59x^80+4x^81+26x^82+18x^84+2x^86+6x^88+1x^92

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 14.6 seconds.