The generator matrix

 1  0  1  1  1  4  1  1  0  1  1  6 12  1  1  2  1  1  1 10  1 10  1  1  0  1  1 12  1  1  2 14  1  1  1  6  1  1  1  1  0  1  1  1 12 10 14  1  1  1  2  0  1  1  8  1  2  1  1  6  1 12  6  1  1  2 10  1  2  1  1  1  1  1  2  1  1 12  1  1
 0  1  1  0 11  1  1  0  1 10  5  1  1 11  2  1  9  0 11  1 10  1  7 14  1  4 13  1  3  2  1  1  4  5  5  1  3  8  3  8  1 12 14 10  1  1  1  8 11 13  1  1 10  5  1  3  1  1 10  1 11  2  1 11  7  0  1 12  2 15  1  5 10 10 14  5  9 12  7  0
 0  0  2  0  0  8 10  2  2  2  8  2  6 12  0 14 12  2 10  4  6  8 14 12  8  2 14  6 12  0  6  0  8  6  4 10  8 10 10 12  6 10  4  6 12  0  0 14  6  8 12 10  0 12  2  4  2  8  4  8  4  6 12  0  2  4  6 10  0  2 14 12  2  6 14  0  6 12 12  0
 0  0  0  2  0 10 14 14  6  8 10  0  0 14  6  2  4  4 10  8  6 10  8 12  4  8  0 10 10 10  4  2  4  2 10  2  4  0  0 10  8 14  0  6 14 14  4 12  0 12 10  8  4  2  2  8  2 14  6  0 12  8  4  2  6  6  4  2 10  8  2  6  4  0 14 12  2  2  8  0
 0  0  0  0 12  0  0 12 12  4  4  4  0  8  4  0  0  8 12  4  0 12  4 12 12  0  8 12  8  0  8  8 12  4  0  8  0 12  4  4 12  8  0  4 12 12  8  0  8 12  8 12  8 12  8  4 12  8  4  0 12  0 12 12  0  8  0  0  4  8  8  0  4 12  4  0  0 12  8  0

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

Homogenous weight enumerator: w(x)=1x^0+156x^71+378x^72+916x^73+1500x^74+2420x^75+4233x^76+4802x^77+6935x^78+7128x^79+8822x^80+7176x^81+7078x^82+4878x^83+4027x^84+2058x^85+1309x^86+834x^87+386x^88+224x^89+80x^90+96x^91+36x^92+24x^93+23x^94+6x^95+4x^96+2x^98+2x^99+1x^102+1x^104

The gray image is a code over GF(2) with n=640, k=16 and d=284.
This code was found by Heurico 1.16 in 63 seconds.