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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+90x^97+133x^98+10x^100+10x^102+5x^104+1x^106+6x^113

The gray image is a code over GF(2) with n=784, k=8 and d=388.
This code was found by Heurico 1.16 in 0.619 seconds.