The generator matrix

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

generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 95.

Homogenous weight enumerator: w(x)=1x^0+72x^95+325x^96+256x^97+401x^98+164x^99+237x^100+184x^101+224x^102+64x^103+76x^104+24x^105+12x^106+4x^107+2x^110+1x^138+1x^140

The gray image is a linear code over GF(2) with n=792, k=11 and d=380.
This code was found by Heurico 1.16 in 2.42 seconds.