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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+127x^68+8x^69+92x^70+80x^71+550x^72+224x^73+762x^74+788x^75+1620x^76+2788x^77+2488x^78+5344x^79+3146x^80+5312x^81+2468x^82+2760x^83+1638x^84+816x^85+732x^86+240x^87+414x^88+64x^89+114x^90+4x^91+113x^92+4x^93+47x^96+21x^100+1x^104+1x^108+1x^120

The gray image is a code over GF(2) with n=640, k=15 and d=272.
This code was found by Heurico 1.16 in 30.5 seconds.