The generator matrix

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

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+192x^93+96x^94+274x^95+93x^96+264x^97+122x^98+206x^99+40x^100+210x^101+66x^102+188x^103+45x^104+108x^105+26x^106+54x^107+8x^108+20x^109+2x^110+8x^111+2x^112+4x^113+4x^114+2x^117+4x^118+2x^119+2x^120+4x^123+1x^136

The gray image is a linear code over GF(2) with n=396, k=11 and d=186.
This code was found by Heurico 1.16 in 20.3 seconds.