The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+106x^62+200x^63+767x^64+1248x^65+1862x^66+2680x^67+3355x^68+4028x^69+4248x^70+4220x^71+3590x^72+2680x^73+1600x^74+1024x^75+589x^76+220x^77+146x^78+68x^79+64x^80+16x^81+34x^82+13x^84+4x^86+2x^88+3x^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 14.7 seconds.