The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12 12  2  4  1 12  2  2  2  1  8  2  0  1  1  2  2  1  4  1  1  2  1 12  8  1  1  1  2  2  1  1  0  1  8  2  2 12
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 14  4 14  0  4  2  6 12  8 14  4 14  4 12 10 10  2 12  2  2  2  6  0 10  0  2  8  4 10  2 12  6  8 14  2  2 14 12  4 12  2  2  8  2 10  0 10  0  6  2 14  0 12 12  2
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  4  8  8  4  2 14  6 14  4 12 14  0  6  4  2  2 12  2 10 10  0 14  2  6  2  0  8  0  0 10  2  4  2  2 12 12 14  0  6 10  2  6 12 14  8  6  2  0  2  0  4  2  6 12  4
 0  0  0  2  2  8  2  6 14  4  4 14 14 10 12  4 10 14 12  6 12 10  4 12  8  2 14  0 14 12 14  4 12 12 10  0  6  2  8 14 10 10  2  8 10 14 14  8  2 14  2  8  4 14  8  6  2 14 10 14  4  0  6  6  4 10  4  8 14  2
 0  0  0  0  4  0  4 12 12 12 12  8  8  0 12 12 12  0  0  4  0  8  8 12  8  0  4 12  8  4 12 12  0  8  4  4  0 12  0  4  8 12  8  0  4 12  0  0  8  4  8  8  0  0 12  0  4  8  4  0  4  8 12  0  8 12  8  4 12  0

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

Homogenous weight enumerator: w(x)=1x^0+312x^62+448x^63+1068x^64+1152x^65+2116x^66+2240x^67+3721x^68+3344x^69+4236x^70+3460x^71+3655x^72+2168x^73+1930x^74+1020x^75+888x^76+352x^77+334x^78+124x^79+128x^80+24x^81+26x^82+4x^83+10x^84+6x^86+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 40.3 seconds.