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

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

Homogenous weight enumerator: w(x)=1x^0+44x^62+322x^63+355x^64+676x^65+802x^66+1380x^67+1661x^68+2068x^69+2051x^70+2096x^71+1627x^72+1204x^73+738x^74+552x^75+256x^76+230x^77+96x^78+118x^79+30x^80+38x^81+12x^82+12x^83+2x^84+6x^85+1x^86+3x^88+2x^89+1x^100

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 5.93 seconds.