The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^77+168x^78+262x^79+725x^80+974x^81+1620x^82+1450x^83+2157x^84+1746x^85+2171x^86+1472x^87+1461x^88+892x^89+699x^90+224x^91+145x^92+42x^93+30x^94+12x^95+14x^96+6x^97+8x^98+18x^99+8x^100+10x^101+4x^102+2x^103+1x^104+2x^106+1x^110+1x^122

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 5.27 seconds.