The generator matrix

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

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+100x^91+93x^92+188x^93+68x^94+284x^95+122x^96+240x^97+18x^98+188x^99+92x^100+240x^101+29x^102+164x^103+37x^104+96x^105+6x^106+32x^107+28x^108+4x^109+5x^110+6x^112+2x^116+1x^118+1x^124+1x^126+1x^128+1x^136

The gray image is a linear code over GF(2) with n=392, k=11 and d=182.
This code was found by Heurico 1.16 in 0.989 seconds.