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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+135x^76+68x^77+428x^78+340x^79+689x^80+684x^81+1232x^82+1444x^83+2250x^84+2080x^85+2170x^86+1476x^87+1187x^88+720x^89+592x^90+252x^91+247x^92+92x^93+120x^94+8x^95+69x^96+4x^97+52x^98+24x^100+10x^102+5x^104+4x^106+1x^128

The gray image is a code over GF(2) with n=680, k=14 and d=304.
This code was found by Heurico 1.16 in 8.97 seconds.