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  1  1  1  1  2  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  4  2  1  1  1  2  1  1  1  1  1  1  1  1  4  1  2  0  1  2  1  2  1  0  1  2  1  1  2  4  2  1  2  2  2  1  2  1  1
 0 12  0  4  0  0  4 12  0  8  4  4  0 12 12  8  8  0  4  4  0  0 12  4  8  8 12  4  8  8  4 12  0  0 12  0  4  4 12  4  0  4  4 12  4  8  0  8  4  4  0  8  0  4 12  8 12  4  4  4  4 12 12  0  8  4  8  4  8  8  8  8 12 12  8  4  4  8  0  8 12  8  4  4  4  0  0 12  4  4  8  0  4  4  8  4  0  0
 0  0 12  4  0 12  4  0  8  4  0  4  0  4  8  4  4  0  4  8 12  0  8 12  0  4  0  4  0 12  8  4  4 12  0  0  8 12  4 12  0  0  8  8  8 12  4  8  4 12 12  8  8 12  0 12  0  0  8  4 12  0  4  8  4 12  0 12  0  0  4  4  4  8  0 12  0  8 12  4  8  8  0  4 12  4  4  0 12  4  0 12  0  0  8 12  8  0
 0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  8  8  0  8  0  0  0  0  8  0  0  8  0  8  8  0  8  0  8  8  8  8  0  0  8  8  8  8  8  8  0  0  8  0  0  0  8  8  8  0  8  0  8  0  8  0  8  0  0  8  8  0  0  0  0  8  8  0  0  0  8  0  0  8  0  8  0  8  8  8  8  8  8  8  0  0  0  0  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  0  0  8  8  8  8  8  0  8  0  8  0  0  0  0  8  8  0  0  8  0  0  8  0  8  0  8  8  0  0  8  0  8  0  8  0  0  8  8  8  0  8  8  8  8  0  0  8  0  0  0  8  0  8  8  8  0  0  8  8  0  0  8  0  8  0  8  0  0  8  0  0  8  0  0  0  8  8  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  8  8  0  8  0  8  0  0  8  8  0  0  0  8  8  0  0  8  0  8  0  0  8  0  0  8  8  0  8  8  8  8  0  0  8  0  8  0  0  8  0  8  8  0  8  0  0  0  0  0  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0  8  8  8  0  8  8  8  8  0  0  8  8  8  0  8  8  0  0  0  8  8  8
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  8  0  8  8  8  0  8  8  8  8  8  0  0  0  8  8  8  0  8  8  0  0  0  0  0  0  8  8  0  0  0  8  0  8  8  0  0  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  8  8  0  8  0  0  0  0  8  0  0  0  8  8  8  0  0  8  8  8  8  8  8  0  0  8  8  8  0  0  8
 0  0  0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  0  8  8  0  8  8  8  0  8  0  0  0  8  0  0  0  8  0  8  8  8  8  0  0  8  0  8  0  8  0  8  0  8  8  0  8  0  0  8  8  8  8  0  0  0  8  8  0  0  0  8  8  8  0  0  8  0  0  0  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  8  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+87x^88+253x^90+24x^91+291x^92+40x^93+450x^94+312x^95+886x^96+1160x^97+1317x^98+1160x^99+921x^100+312x^101+344x^102+40x^103+220x^104+24x^105+126x^106+105x^108+52x^110+37x^112+15x^114+9x^116+2x^118+1x^120+1x^122+1x^124+1x^156

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 3.89 seconds.