The generator matrix

 1  0  1  1  1  4  1 14  1 10  1  1  1  1 12  1  1  4  1  1  1 14  6  1  1  1 14  0  1  1  1  4  1  1  1  1  1  8  1  1 10  1  2  1  0  1  1  1 12 12  1  1  1  1  1  1 12  1  2  1  1  1  4  4  2  1  1  1  2 14  1  1  1 10 12  0  1  1  1  1
 0  1  1  0 11  1  2  1  7  1  5  6  7  4  1 10  5  1  0  9 14  1  1  3  0  9  1  1 15  6  1  1  4  3  3  0  4  1  9 14  1 12  1  9  1  8  1  7  1  1  7  9  6 10 14  7  1 11  4  8  7  6  4  8  1 10 14 15 12  1  3 15  6  1  2  4 12  7  1  0
 0  0  2  6  0  2  6 12 10  6  4  0  6  2  2  6  0  8  4 10  0  6 12  0 10  8  8  0 12 10  6 10 12  2  0  4  6  4  2 12  6  4  4  0 14 14  6 10  8 10  8  4  2  8 12 10 12  2  6  8  4  8  2  2 10 14 14 14 14  4 12 10 12  8 10 12  8 12  4  0
 0  0  0 12  0  4  4  0  0 12  8  8  4  8  0  0 12  4  4  4  4  8  4  0 12 12  8  4  4  0  0  0 12  0  0  0  4  8 12  4 12  8 12  8  8  4  4  4  8  8  8 12  4  8 12  0  8  0  8  4  4  4  4 12  0  4  4  0  0  0  0  8  8  0 12  8  0 12  0  0
 0  0  0  0 12  4  0  0  0 12 12  8  0  0 12  0  4  8  0  8  0 12  0  8  0  4 12  4  8 12  4  0  4 12  8 12 12 12 12 12  8  8 12 12  0  4  8 12  8 12 12  0  8 12 12  4 12  8  8  8 12  8 12  4  0  4  8  4 12 12 12  0  8  0  4  4 12  0  8  0
 0  0  0  0  0  8  8  8  8  0  8  8  0  8  8  0  0  0  8  8  0  0  8  0  8  8  8  8  8  0  0  8  0  8  8  8  0  0  0  8  0  8  0  0  0  8  0  8  8  0  8  0  8  0  0  0  8  8  0  0  0  8  0  0  0  8  8  0  0  8  8  0  0  0  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+48x^70+152x^71+452x^72+1010x^73+1556x^74+2416x^75+3745x^76+5342x^77+6554x^78+7546x^79+8151x^80+7640x^81+6574x^82+5144x^83+3756x^84+2394x^85+1368x^86+746x^87+354x^88+244x^89+129x^90+78x^91+47x^92+40x^93+16x^94+12x^95+6x^96+2x^97+8x^98+2x^99+2x^102+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 65 seconds.