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  0  X X^3+X^2  X  0  X X^3+X^2  X  0  X X^3+X^2  1  X  1  X  X X^3+X^2  X  0  1  1  X  1  1  X  1  X  X  1  X  X  X  X X^3 X^2 X^3 X^2  1  1  X  X  X  X  1  1 X^3 X^2 X^3 X^2  1  1  1  1  1  X  X  1  X  X  X  X  X  X  X  1  1
 0  X X^3+X^2 X^2+X  0 X^2+X X^3+X^2 X^3+X  0 X^2+X X^3+X^2 X^3+X  0 X^2+X X^3+X^2  X X^3 X^3+X^2+X X^2  X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2  X X^3 X^3+X^2+X X^2 X^3+X X^2+X  X X^3+X  X X^2+X  X X^3+X  X X^2+X  X X^3+X  X  0  0 X^3+X^2 X^3+X^2 X^2+X  X X^3+X  X  0 X^3+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+X^2+X  X X^3+X^2+X  X  X  X  X  X X^2 X^2 X^3+X^2+X  X X^3+X^2+X  X X^2 X^2  X  X  X  X  0  0 X^3 X^3 X^2+X  0 X^2 X^3+X^2+X X^2 X^3  0 X^2 X^3 X^2 X^3 X^2+X  0
 0  0 X^3  0  0 X^3 X^3 X^3 X^3  0  0 X^3 X^3 X^3  0  0 X^3 X^3 X^3 X^3  0  0  0  0 X^3 X^3 X^3 X^3  0  0  0  0  0  0 X^3 X^3  0  0 X^3 X^3 X^3 X^3  0  0  0 X^3 X^3  0 X^3  0  0 X^3  0 X^3 X^3 X^3  0 X^3 X^3  0 X^3  0 X^3 X^3  0  0 X^3 X^3  0  0 X^3  0 X^3 X^3  0  0 X^3  0 X^3 X^3  0  0 X^3 X^3  0  0  0  0 X^3  0 X^3 X^3  0  0 X^3  0  0 X^3  0
 0  0  0 X^3 X^3 X^3 X^3  0 X^3  0  0 X^3  0  0 X^3 X^3  0  0 X^3 X^3 X^3 X^3  0  0 X^3 X^3  0  0  0  0 X^3 X^3  0 X^3 X^3  0 X^3  0  0 X^3 X^3  0  0 X^3  0 X^3 X^3 X^3  0  0 X^3 X^3 X^3  0  0  0  0 X^3 X^3 X^3  0 X^3  0 X^3 X^3  0  0 X^3 X^3  0  0 X^3 X^3  0  0 X^3 X^3  0 X^3  0  0 X^3 X^3  0 X^3  0  0 X^3  0 X^3 X^3  0  0  0 X^3 X^3  0 X^3  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+14x^97+63x^98+378x^99+22x^100+18x^101+4x^102+6x^103+1x^104+4x^114+1x^130

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 1.26 seconds.