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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+142x^70+474x^71+790x^72+1182x^73+1776x^74+2592x^75+3760x^76+4950x^77+6081x^78+7040x^79+7451x^80+7616x^81+6708x^82+4958x^83+3406x^84+2340x^85+1752x^86+976x^87+602x^88+426x^89+209x^90+142x^91+42x^92+62x^93+33x^94+6x^95+12x^96+2x^98+4x^99+1x^106

The gray image is a code over GF(2) with n=640, k=16 and d=280.
This code was found by Heurico 1.16 in 92.9 seconds.