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

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

Homogenous weight enumerator: w(x)=1x^0+96x^70+352x^71+776x^72+1296x^73+1729x^74+2810x^75+3412x^76+4958x^77+6127x^78+7838x^79+7018x^80+7802x^81+6226x^82+5028x^83+3394x^84+2506x^85+1461x^86+1148x^87+703x^88+382x^89+215x^90+148x^91+52x^92+32x^93+17x^94+2x^95+4x^96+2x^99+1x^110

The gray image is a code over GF(2) with n=640, k=16 and d=280.
This code was found by Heurico 1.16 in 88.5 seconds.