The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^3+X^2  1  1 X^3+X  1  1 X^3  1  1 X^3+X^2+X  1  1 X^2  1  1  X  1  1  0  1  1 X^2+X  1  1 X^3+X^2  1  1 X^3+X  1  1 X^3  1  1 X^3+X^2+X  1  1 X^2  1  1  X  1  1  1  1  0 X^2+X  X  X X^3  X  X X^2  1  1  X  X  0 X^3+X^2  X  X X^3+X^2  1  1 X^3+X  1  1 X^3  1  1 X^2  1  1  1  1 X^3+X^2+X  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 X+1 X^2+X X^2+1  1 X^3+X^2 X^3+X^2+X+1  1 X^3+X X^3+1  1 X^3 X^3+X+1  1 X^3+X^2+X X^3+X^2+1  1 X^2 X^2+X+1  1  X  1  1  0 X+1  1 X^2+X X^2+1  1 X^3+X^2 X^3+X^2+X+1  1 X^3+X X^3+1  1 X^3 X^3+X+1  1 X^3+X^2+X X^3+X^2+1  1 X^2 X^2+X+1  1  X  1  1  0 X+1 X^2+X X^2+1  1  1 X^3 X^3+X^2+X  X X^2  X  X X^3+X^2 X^3+X^2+X+1  0 X^2+X  X  1 X^3+X^2 X^3+X  X X^3+X X^3+1  1 X^3 X^3+X+1  1 X^2 X^2+X+1  1 X^3+X^2+X  X X^3+X^2+1  1  1  1  0 X^3+X^2 X^3 X^2 X^2+X X^3+X X^3+X^2+X  X X+1 X^3+X^2+X+1 X^3+X+1 X^2+X+1 X^2+1 X^3+1  0

generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+28x^98+184x^99+28x^100+2x^101+2x^102+4x^103+2x^104+2x^105+1x^108+1x^114+1x^126

The gray image is a linear code over GF(2) with n=792, k=8 and d=392.
This code was found by Heurico 1.16 in 0.453 seconds.