The generator matrix

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

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+184x^95+223x^96+128x^97+367x^98+416x^99+216x^100+112x^101+125x^102+168x^103+87x^104+16x^105+1x^106+1x^110+2x^126+1x^136

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 1.31 seconds.