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

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

Homogenous weight enumerator: w(x)=1x^0+106x^98+4x^100+12x^102+2x^104+2x^106+1x^112

The gray image is a code over GF(2) with n=784, k=7 and d=392.
This code was found by Heurico 1.16 in 1.21 seconds.