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

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

Homogenous weight enumerator: w(x)=1x^0+25x^88+52x^89+92x^90+176x^91+196x^92+380x^93+468x^94+512x^95+926x^96+656x^97+1216x^98+728x^99+974x^100+528x^101+425x^102+312x^103+146x^104+156x^105+79x^106+56x^107+26x^108+20x^109+13x^110+8x^111+5x^112+4x^114+4x^116+4x^118+1x^120+1x^122+1x^126+1x^150

The gray image is a code over GF(2) with n=784, k=13 and d=352.
This code was found by Heurico 1.16 in 3.31 seconds.