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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+86x^70+226x^71+298x^72+568x^73+786x^74+782x^75+1016x^76+886x^77+1140x^78+700x^79+644x^80+380x^81+217x^82+160x^83+102x^84+70x^85+36x^86+44x^87+16x^88+16x^89+4x^90+6x^91+2x^92+2x^94+2x^95+1x^96+1x^114

The gray image is a code over GF(2) with n=616, k=13 and d=280.
This code was found by Heurico 1.16 in 1.97 seconds.