The generator matrix

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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+156x^85+93x^86+324x^87+73x^88+266x^89+132x^90+230x^91+47x^92+190x^93+84x^94+152x^95+35x^96+98x^97+35x^98+40x^99+54x^101+7x^102+20x^103+1x^104+4x^105+2x^107+1x^108+1x^112+1x^114+1x^128

The gray image is a linear code over GF(2) with n=364, k=11 and d=170.
This code was found by Heurico 1.16 in 0.978 seconds.