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

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

Homogenous weight enumerator: w(x)=1x^0+72x^71+198x^72+282x^73+313x^74+532x^75+892x^76+1202x^77+1646x^78+2074x^79+2182x^80+2034x^81+1624x^82+1154x^83+842x^84+482x^85+282x^86+224x^87+128x^88+64x^89+26x^90+32x^91+34x^92+28x^93+8x^94+6x^95+11x^96+4x^97+4x^98+2x^99+1x^122

The gray image is a code over GF(2) with n=640, k=14 and d=284.
This code was found by Heurico 1.16 in 8.63 seconds.