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  0  2  1  0  0  2  2  1  1  4  2  2  1  1  0 12  1  1  1  2  4  2  1  1  0  1  1  1  2  0  1  1  1  1  1  4  1 12  2  2  8  1  1  8  1  4  8  8  1 12  1  1
 0  2  0  2  0  0  2 10  8  0  6  6  4  2  2 12  0  8 12  2 10  6 14  0  8  4  6  2  2 12  8  0  2  6 14 14  4 12  2  0  2 12  2  2  6  2 10  2  2  6  2 10  4  8  0 12  8  2  8 14 10  2 14  2  0  4 14  4  0  4  6  2  2  2  4  2 14  4 12  0
 0  0  2  2  0  6 10  8  6  4  6 12 12 12 14  2  0 10 12  8  2 12 10 10  6  0 14 12 14 14  6  2  0  6  0  4  8  2  2 14  4  4  2  8  2  4  6  6  6  0 10  4  2  0  2  2  2  6 10  0  6  4 14 14  0  2  2  6  2  2  6  0 10  0  4  4  4  2 10  0
 0  0  0  4  0  0  4  0  0  0 12  0  0  0  4  8  4  4 12 12  8  4  8 12 12  4  8  4  0  8 12  0  4  4  4  8  0  4  0 12  4  4 12  0  8  8  8  4 12  4 12  8  0  8  8  0 12  0  8  8 12 12 12  0  0 12  8  4  8  4  4  8  8 12 12  0  0  0  0  0
 0  0  0  0 12  0 12  4  4  4 12  4  8  0  8 12  4  8  4  8 12  0  0  4  4  8 12  4  8 12  0  8 12 12  0  0  8 12  8  8 12  0 12  0  4  8  8  0  0 12  0  4 12  4  0 12 12  0  4  0 12  4  4 12  4  0 12 12 12  0 12  4  8  0  8  8  4  4  4  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  8  0  0  8  0  8  8  8  8  0  0  0  0  8  8  0  8  8  8  8  0  0  0  0  8  0  0  8  0  8  0  0  8  8  8  8  0  8  8  0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  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+25x^70+176x^71+365x^72+668x^73+891x^74+1424x^75+1974x^76+2330x^77+3065x^78+3718x^79+3868x^80+3498x^81+3139x^82+2508x^83+1819x^84+1170x^85+748x^86+576x^87+300x^88+216x^89+109x^90+68x^91+45x^92+10x^93+18x^94+10x^95+10x^96+10x^97+4x^98+2x^100+2x^101+1x^106

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 26.2 seconds.