The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^76+128x^77+516x^78+544x^79+1370x^80+1908x^81+2767x^82+3228x^83+3848x^84+3768x^85+4264x^86+3232x^87+2703x^88+1796x^89+1164x^90+668x^91+375x^92+80x^93+96x^94+8x^95+76x^96+41x^98+22x^100+16x^102+10x^104+2x^108+1x^116

The gray image is a code over GF(2) with n=680, k=15 and d=304.
This code was found by Heurico 1.16 in 20.4 seconds.