The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+78x^78+458x^79+776x^80+1106x^81+1297x^82+1970x^83+1844x^84+1884x^85+1711x^86+1794x^87+1169x^88+992x^89+520x^90+342x^91+172x^92+92x^93+62x^94+28x^95+21x^96+22x^97+10x^98+16x^99+16x^100+1x^104+1x^106+1x^110

The gray image is a code over GF(2) with n=680, k=14 and d=312.
This code was found by Heurico 1.16 in 5.08 seconds.