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

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

Homogenous weight enumerator: w(x)=1x^0+138x^71+380x^72+578x^73+1049x^74+1232x^75+1959x^76+2410x^77+3154x^78+3646x^79+3892x^80+3670x^81+3261x^82+2428x^83+1877x^84+976x^85+799x^86+496x^87+345x^88+180x^89+114x^90+80x^91+52x^92+26x^93+6x^94+12x^95+6x^96+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 24.3 seconds.