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

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

Homogenous weight enumerator: w(x)=1x^0+54x^62+118x^63+163x^64+372x^65+218x^66+722x^67+753x^68+1124x^69+1230x^70+1110x^71+756x^72+700x^73+228x^74+320x^75+91x^76+96x^77+50x^78+26x^79+24x^80+8x^81+8x^82+6x^83+3x^84+4x^85+2x^86+2x^87+1x^90+1x^92+1x^106

The gray image is a code over GF(2) with n=560, k=13 and d=248.
This code was found by Heurico 1.16 in 1.89 seconds.