The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1 X^2  1 X^2  1  X  1  1 X^2+X  1  1 X^2+X  1  1 X^2+X  1 X^2  1  1 X^2  1  1  1  X  1  1  1 X^2+X  X  1  X  1  1  1  1  1 X^2  1  1  1  1  0  1 X^2  1  1  0  0  X  1  1  1 X^2+X  1  1  1  1 X^2+X  1  1  1  1 X^2  1 X^2  1  1  0  1 X^2  1  1  X X^2+X  1 X^2  1  1
 0  1  1  0 X^2+X+1  1  X X^2+X+1  1 X^2+1  1  0  1 X^2+X  1  1  1 X^2+X  1 X^2+X X+1  1  X X^2+X+1  1 X^2 X+1  1 X^2+X+1  1 X+1 X^2+X  1 X^2  0  1  1 X^2 X+1  1  1  1  X  1 X^2+1  1 X^2 X^2+1 X+1  1 X^2+1 X+1  0  0  1 X^2+X  1 X^2+X  1  1  1  1  0  0  0  1 X^2+1 X^2+X+1 X^2+X+1 X^2+X+1  1  1  X  1  1  1  0  X X^2+1 X^2+1  1  X X^2  1  X  X  1  0  1 X^2+X+1  0
 0  0  X  0 X^2+X  0  0 X^2 X^2  0 X^2  X  0  X X^2+X X^2+X X^2+X X^2+X X^2+X  0  0 X^2 X^2+X X^2+X  X X^2+X  X X^2+X X^2  0  0 X^2 X^2  X X^2+X  0 X^2+X X^2+X  X  X X^2+X X^2  0  0  0 X^2+X X^2+X X^2 X^2 X^2+X  X  0  0  X  X  0 X^2 X^2+X  0 X^2 X^2 X^2+X  0 X^2+X X^2  X X^2+X X^2  0 X^2+X X^2+X X^2+X  0 X^2+X  0  X X^2  X X^2  0  0  X  X X^2 X^2  0  0 X^2  0 X^2+X  0
 0  0  0  X  0  0  X X^2+X X^2+X X^2  X  X X^2+X X^2+X X^2 X^2+X  X X^2 X^2  0 X^2 X^2 X^2  X X^2+X  0 X^2+X  0 X^2+X  X  0  0  X  0 X^2+X  X X^2+X  X X^2  0 X^2 X^2  X X^2+X  0 X^2+X X^2 X^2+X X^2+X  0 X^2 X^2 X^2 X^2  0  X  X  0  X X^2+X  0  0  0  0 X^2 X^2+X  X  0  X X^2+X  0 X^2 X^2+X X^2+X X^2+X X^2 X^2 X^2 X^2+X  X  0  X  X  0  0  X  0 X^2  0  X X^2
 0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2  0  0 X^2 X^2 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  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2  0  0  0
 0  0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  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 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  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  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2
 0  0  0  0  0  0 X^2  0  0  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  0 X^2  0  0 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0  0 X^2 X^2 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 82.

Homogenous weight enumerator: w(x)=1x^0+146x^82+96x^83+437x^84+300x^85+578x^86+384x^87+761x^88+536x^89+809x^90+420x^91+706x^92+584x^93+649x^94+412x^95+464x^96+216x^97+255x^98+92x^99+122x^100+28x^101+89x^102+4x^103+44x^104+24x^106+17x^108+8x^110+4x^112+2x^114+2x^116+2x^120

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 6.66 seconds.