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  1  1  1  1  1  2  2  2  1  2  2  1  2  1  1  2  1  8  4  1  0  2  1  2  1  2  8  1  1  1  0  2  1  4  1  4  1  1  1  2  1  1  1  4  1  1
 0 12  0  0  0  0  0  0  0  0  8  4 12 12  8  0 12 12  4  4  8  4  0 12 12  4  4  4 12  8  8  4 12  8  8  0 12  4  8  4  0  4  0  4  8 12  0 12 12  8 12  8  8 12  0 12  8 12 12  8  0 12  8  4  8 12  4  4  4 12  8  8 12 12  8  4  4  4  0  8
 0  0 12  0  0  0  0  0  0  0 12  8  4 12  4  4  4 12  0  8 12 12  4  4 12  8  0 12  0  4 12  0  8  0  4  4  8 12  8  4 12 12 12  8  4 12  8  0  0 12 12  4  8  8  4  4  0  0  4  0  8  4  4  4  8  8  8  4  4  8 12  0  4  8  8 12  0  0  0 12
 0  0  0 12  0  0  8 12 12  4  4 12  8 12 12  0  8 12 12  8  0  8 12 12 12  0  4  0  4  4  8  0 12  0  8  4  0 12  8  0 12  8 12 12  0  0  0  8  8 12  0  8 12  4 12 12  4  4  8 12  8  8  8  4  0  4  0 12 12  0  4  8  0  4 12  4 12  8 12  0
 0  0  0  0 12  0 12 12  4  8  0  0  0  0  8  0 12  4  4 12  4  0  4 12  0 12 12 12  8 12  4  0  8  0  8  8 12 12  8  8  8 12 12 12  4  8  0  8 12  4  4  4 12  8 12  8  0  4  0  8  4  8  4  0  4  0  8  0  4  0  8 12 12  0 12  4  0  4  0  0
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  4  4  0  8  4  4  0  4 12 12 12  8  8 12  4  0 12  4  4  8  4  0  4  4  4  8 12 12  8 12 12  0 12  8  8 12  4  8  4  8  0  0  8 12  4  0 12 12 12  4  8  8  4 12 12  8  4  4  0 12 12  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+224x^70+8x^71+343x^72+60x^73+554x^74+260x^75+913x^76+916x^77+1880x^78+1812x^79+2599x^80+1836x^81+1896x^82+940x^83+816x^84+252x^85+380x^86+52x^87+270x^88+8x^89+170x^90+103x^92+68x^94+10x^96+12x^98+1x^120

The gray image is a code over GF(2) with n=640, k=14 and d=280.
This code was found by Heurico 1.16 in 11 seconds.