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

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+60x^92+156x^93+252x^94+244x^95+208x^96+218x^97+178x^98+146x^99+96x^100+96x^101+100x^102+52x^103+27x^104+52x^105+28x^106+22x^107+26x^108+16x^109+25x^110+16x^111+14x^112+6x^113+8x^114+1x^118

The gray image is a linear code over GF(2) with n=392, k=11 and d=184.
This code was found by Heurico 1.11 in 0.547 seconds.