The generator matrix

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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+139x^82+96x^83+420x^84+292x^85+649x^86+348x^87+731x^88+504x^89+731x^90+592x^91+725x^92+500x^93+708x^94+380x^95+459x^96+240x^97+279x^98+120x^99+89x^100+85x^102+44x^104+25x^106+20x^108+6x^110+4x^112+2x^114+1x^116+1x^120+1x^124

The gray image is a linear code over GF(2) with n=364, k=13 and d=164.
This code was found by Heurico 1.16 in 6.5 seconds.