The generator matrix

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

generates a code of length 85 over Z2[X]/(X^3) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+61x^82+48x^83+136x^84+32x^85+130x^86+48x^87+48x^88+1x^90+4x^96+1x^100+1x^116+1x^120

The gray image is a linear code over GF(2) with n=340, k=9 and d=164.
This code was found by Heurico 1.16 in 0.447 seconds.