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

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+243x^92+24x^93+108x^95+267x^96+232x^97+300x^99+227x^100+232x^101+100x^103+124x^104+24x^105+4x^107+112x^108+40x^112+9x^116+1x^172

The gray image is a linear code over GF(2) with n=396, k=11 and d=184.
This code was found by Heurico 1.16 in 55.9 seconds.