The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  0  1  1  1  1 14 12  1  1  6  1  1  2  1  1  1  8  1  6  1  1  1  1  1 10  1  0  1  1  4  1  6  1 14  1  0  1  1  1  1 12  1  1  8  1 10  1  1  8 10  1 12  1  1  1  1  1  1  1  1  1 10  1  4  8  1  1  1
 0  1 11  6  1  1 12 13  1  2  7  1  1  3  8  5 14  1  1  3  6  1  5  0  1 14  5 12  1  7  1  4  8  3  1 10  1  3  1  5 10  1  5  1 12  1 15  1  3  0  9  3  1 12 11  1 10  1 14 12  1  1  1  1  2 10  2  8  0 15  8  0 15  1  1  1  2 11  7 13
 0  0 12  0  0  0  0  0  0  0  4  8  0  8  4  8 12 12  8  4 12 12  4 12 12  8 12  0  0  8  4 12  4  8  8  4  0  0  4  4  0 12  4  8  8  4 12 12 12  0 12  4 12 12 12 12  8 12  4  4 12  0  8 12  8 12  0  0  4 12  4  4  8  0  8  0 12 12  0  8
 0  0  0 12  0  0  0  0  8  4  0  0  4  4  4  4  4  8  4  4  8 12  4  8  4  8  0  4 12 12  0  4  8  8  4  0 12  8  8  4 12 12 12 12  8  0  8  4  4  8  0  0  8  4 12  4 12  8  0  0  4  4  0  4  0 12  0  8 12  0  8 12  4  4  8  4 12  4 12  0
 0  0  0  0  4  0  8  4 12  8  8 12 12  4  4 12 12  8 12  0 12  8  8 12 12 12 12  4  8  0  4  0  8  8  8 12  8  8 12  8  4 12 12  8  4  8  4 12  8  4  4  0  0  0 12  0 12  4  8  8  8  0  8  0  4  8  0 12  8 12  8 12  4  4  4 12  4 12  8  4
 0  0  0  0  0  8  8  8  0  8  8  8  0  8  0  0  8  0  8  8  0  8  0  8  8  8  0  8  8  8  0  0  8  8  0  0  0  0  0  8  0  0  8  0  0  8  8  8  0  8  0  0  0  8  0  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  0  0  0  8  8  8  8  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+62x^71+183x^72+350x^73+597x^74+1246x^75+1721x^76+2524x^77+3519x^78+4064x^79+4323x^80+4098x^81+3647x^82+2430x^83+1704x^84+1192x^85+503x^86+272x^87+97x^88+76x^89+40x^90+28x^91+18x^92+16x^93+8x^94+20x^95+14x^96+4x^98+4x^99+2x^102+2x^103+2x^104+1x^108

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.