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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+120x^71+363x^72+610x^73+939x^74+1506x^75+1708x^76+2398x^77+3412x^78+3604x^79+3895x^80+3638x^81+3060x^82+2446x^83+1750x^84+1276x^85+742x^86+546x^87+301x^88+142x^89+157x^90+60x^91+42x^92+22x^93+9x^94+2x^95+4x^96+10x^97+4x^99+1x^110

The gray image is a code over GF(2) with n=640, k=15 and d=284.
This code was found by Heurico 1.16 in 24.1 seconds.