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

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+6x^98+100x^99+6x^100+1x^102+10x^103+1x^104+2x^111+1x^126

The gray image is a linear code over GF(2) with n=792, k=7 and d=392.
This code was found by Heurico 1.16 in 1.2 seconds.