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

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

Homogenous weight enumerator: w(x)=1x^0+228x^70+80x^71+548x^72+284x^73+898x^74+424x^75+1526x^76+488x^77+1366x^78+436x^79+897x^80+236x^81+366x^82+80x^83+180x^84+16x^85+58x^86+4x^87+40x^88+24x^90+6x^92+4x^94+1x^96+1x^112

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 16.3 seconds.