The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  8  1  1  1 14  1  4  1  1  1 14  1  1  2  0  1  1  1 14 12  1  1  1  2  1  1  1  1  1  1  1  1  1  1  8 14  1  1  8  1  2  1  4  1  1  1  6  1  1  1  1  1  1  1  6  4  1  1  1 10  1  1  1  2  1  2  1  2  1  1 14  1
 0  1 11  6 13  1  7  8  1 14  1  1  4  1  3  6  5  1  9  1 10 11  0  1 11  4  1  1  6  9  9  1  1 12  2  0  1  7  2  5 15 12 15 10  5 11  0  1  1 12  8  1  2  1 11  1  7 15  9  1  3 13  0  9  1  5  9  1  1  5 14  6  1 12 15  5 12  3  0  2 12 15  6  1  0
 0  0 12  0  4  0  4  4  0 12  4  8 12 12  0  0  8  4  8 12  8  8 12  0  4  8  8  4  4 12  0  4  0  4 12  0 12  8  0  4  4 12  8  4  0 12  0  4  4  8 12 12  4 12  4  4  4  0 12 12 12  8 12 12  0  4  8  0  8  0  0  4  4  4  4  4 12 12  8  8  4  4  0  0  0
 0  0  0 12  0  0  0  8  8  8  0  0  8  0  8  8  0  8  0  8  0 12  4 12  4  4 12  4  4  4  4 12 12  4  8  4 12 12  4  4 12  4  8 12  4  4  0  4  8 12 12  8  0  0  8  0  4  0  0  4  8 12  0  8  8  8  0  4  8  8 12  0 12  4  4  4  8 12 12  8  4 12  0  4  0
 0  0  0  0  8  0  8  8  8  0  0  8  0  0  8  0  0  8  0  8  8  8  0  8  0  0  0  0  8  8  0  0  8  8  8  8  8  0  8  0  8  8  0  0  8  0  8  0  0  0  8  8  8  8  8  0  0  8  0  8  0  8  0  8  0  8  8  8  0  8  0  8  8  0  8  0  8  8  0  8  8  8  8  0  0
 0  0  0  0  0  8  8  0  0  8  8  8  0  8  8  8  8  8  0  0  8  0  8  8  8  8  0  0  8  8  0  8  0  0  8  8  8  8  8  8  0  0  8  0  0  0  8  8  8  0  8  8  8  0  8  0  0  0  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  0  8  0  0  0  8  0  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+40x^77+180x^78+346x^79+670x^80+1100x^81+1361x^82+1724x^83+2004x^84+1886x^85+1709x^86+1702x^87+1555x^88+988x^89+478x^90+298x^91+157x^92+68x^93+31x^94+14x^95+20x^96+4x^97+13x^98+8x^99+5x^100+6x^101+2x^102+2x^103+2x^104+4x^105+2x^107+2x^108+1x^110+1x^118

The gray image is a code over GF(2) with n=680, k=14 and d=308.
This code was found by Heurico 1.16 in 5.53 seconds.