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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+98x^91+288x^92+422x^93+718x^94+614x^95+789x^96+818x^97+1009x^98+928x^99+755x^100+544x^101+383x^102+200x^103+212x^104+94x^105+105x^106+78x^107+47x^108+22x^109+20x^110+18x^111+16x^112+4x^113+4x^114+4x^116+1x^150

The gray image is a code over GF(2) with n=784, k=13 and d=364.
This code was found by Heurico 1.16 in 2.3 seconds.