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

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+42x^98+160x^99+41x^100+2x^102+1x^104+2x^106+5x^108+2x^114

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 0.891 seconds.