The generator matrix

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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+154x^80+838x^81+1223x^82+1606x^83+2039x^84+2094x^85+1759x^86+1756x^87+1406x^88+1168x^89+759x^90+658x^91+416x^92+238x^93+116x^94+66x^95+48x^96+14x^97+5x^98+8x^99+5x^100+1x^102+2x^103+1x^104+1x^106+2x^108

The gray image is a code over GF(2) with n=688, k=14 and d=320.
This code was found by Heurico 1.16 in 3.8 seconds.