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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+117x^88+44x^89+304x^90+228x^91+553x^92+612x^93+814x^94+1236x^95+1529x^96+1980x^97+1756x^98+1948x^99+1392x^100+1260x^101+862x^102+636x^103+446x^104+200x^105+166x^106+48x^107+137x^108+48x^110+30x^112+12x^114+14x^116+2x^118+3x^120+2x^122+2x^126+1x^128+1x^144

The gray image is a code over GF(2) with n=784, k=14 and d=352.
This code was found by Heurico 1.16 in 11.4 seconds.