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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+72x^77+86x^78+348x^79+212x^80+666x^81+566x^82+1012x^83+670x^84+1088x^85+752x^86+922x^87+536x^88+558x^89+150x^90+302x^91+36x^92+96x^93+32x^94+30x^95+7x^96+6x^97+12x^98+6x^99+4x^100+8x^101+2x^102+4x^103+4x^104+2x^105+1x^108+1x^124

The gray image is a code over GF(2) with n=680, k=13 and d=308.
This code was found by Heurico 1.16 in 2.64 seconds.