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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+70x^85+129x^86+150x^87+161x^88+146x^89+197x^90+158x^91+143x^92+134x^93+123x^94+162x^95+141x^96+134x^97+53x^98+42x^99+51x^100+28x^101+6x^102+11x^104+2x^108+2x^110+1x^112+1x^120+2x^122

The gray image is a linear code over GF(2) with n=368, k=11 and d=170.
This code was found by Heurico 1.16 in 1.28 seconds.