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

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+84x^94+103x^96+188x^98+256x^99+207x^100+108x^102+72x^104+4x^106+1x^196

The gray image is a linear code over GF(2) with n=396, k=10 and d=188.
This code was found by Heurico 1.16 in 0.909 seconds.