The generator matrix

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

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+316x^92+212x^94+444x^96+208x^98+402x^100+164x^102+202x^104+56x^106+28x^108+5x^112+2x^116+2x^120+4x^124+2x^136

The gray image is a linear code over GF(2) with n=392, k=11 and d=184.
This code was found by Heurico 1.16 in 2.1 seconds.