The generator matrix

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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+333x^92+232x^93+1006x^94+456x^95+866x^96+640x^97+1332x^98+528x^99+908x^100+456x^101+838x^102+232x^103+220x^104+16x^105+50x^106+49x^108+4x^110+14x^112+2x^114+5x^116+2x^120+1x^128+1x^132

The gray image is a code over GF(2) with n=784, k=13 and d=368.
This code was found by Heurico 1.16 in 11.9 seconds.