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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+233x^86+414x^88+288x^90+256x^92+264x^94+373x^96+152x^98+34x^100+15x^102+4x^104+4x^108+6x^114+2x^122+2x^124

The gray image is a linear code over GF(2) with n=368, k=11 and d=172.
This code was found by Heurico 1.16 in 1.89 seconds.