The generator matrix

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

generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+34x^97+244x^98+46x^99+104x^100+22x^101+44x^102+10x^103+1x^104+2x^106+1x^108+2x^114+1x^132

The gray image is a linear code over GF(2) with n=792, k=9 and d=388.
This code was found by Heurico 1.16 in 12.8 seconds.