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

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

Homogenous weight enumerator: w(x)=1x^0+196x^70+52x^71+517x^72+320x^73+1084x^74+948x^75+1921x^76+2244x^77+3492x^78+3488x^79+4364x^80+3744x^81+3270x^82+2308x^83+1888x^84+868x^85+916x^86+308x^87+376x^88+56x^89+206x^90+125x^92+42x^94+20x^96+8x^98+2x^100+2x^102+1x^104+1x^112

The gray image is a code over GF(2) with n=640, k=15 and d=280.
This code was found by Heurico 1.16 in 29.9 seconds.