The generator matrix

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

generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+335x^92+528x^94+382x^96+210x^98+207x^100+142x^102+118x^104+58x^106+36x^108+18x^110+6x^112+4x^114+2x^116+1x^120

The gray image is a linear code over GF(2) with n=388, k=11 and d=184.
This code was found by Heurico 1.11 in 0.562 seconds.