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 12  2  1  1  2  4  1 12  2 12  1  0  1  1  2  2  1  1  8  2  1  1  2  1  8  4  2  2  1  8  1  2  2  4  1  1  1  2  2  1  1  0  1  1  1
 0  2  0  2  0  8  6 14  0  0  2  6  0  8  6 10  4  2 10 12  2  6  4 14 12  8 12  8 12 10  2  4  2  6  8 14  0 12 10  0  2  4 10  2  2  8 10 10 14  2  2  0 10 10  2 12 14  8  2  6 14 14  4  4 12  2  8  2  0  0
 0  0  2  2  0  6 14  8  0  2 10  0  4  2  2  4 14 14  8 12 14  4 12  8  4  2 14 10 12  0  4 14 14  6  2 14  2  0  6 10 10  0  4  0  8  2  4  6  4  8  6 10  8  2  8  2 14  2  0  8 12  6 14 10  4  6  2  2 10  8
 0  0  0  4  0  0 12  0 12 12  8 12 12 12  8  4  4  8  8  0  0  4 12  0 12  8  4  8  8  8 12 12 12  8 12  8  4  4  4 12  0 12  8  0 12  4  4  8  0  8  0  8  4  4  0 12  0  0 12  8  8  8 12  8  0 12  0  0  0  0
 0  0  0  0 12  4  4  4 12  8  8  4  0 12 12  0  4  4 12 12  0  8  0  8 12  0  8  4  8  8  4 12  4  8  4  0 12  0  4  0  8  0  8 12  0  8 12 12 12 12  8  4  0  8  4  8  0  0  8 12  0 12  4  4  0  0  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+62x^62+288x^63+339x^64+898x^65+857x^66+1384x^67+1464x^68+2116x^69+1876x^70+2058x^71+1386x^72+1394x^73+736x^74+720x^75+281x^76+224x^77+102x^78+78x^79+38x^80+40x^81+11x^82+12x^83+10x^84+4x^86+4x^87+1x^92

The gray image is a code over GF(2) with n=560, k=14 and d=248.
This code was found by Heurico 1.16 in 5.87 seconds.