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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+46x^84+132x^85+200x^86+156x^87+119x^88+170x^89+190x^90+148x^91+110x^92+172x^93+181x^94+104x^95+88x^96+92x^97+55x^98+36x^99+15x^100+8x^101+5x^102+4x^103+3x^104+2x^105+3x^106+1x^108+2x^114+2x^118+1x^120+2x^122

The gray image is a linear code over GF(2) with n=364, k=11 and d=168.
This code was found by Heurico 1.16 in 0.753 seconds.