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

generates a code of length 82 over Z2[X]/(X^3) who�s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+232x^80+64x^82+208x^84+5x^96+2x^112

The gray image is a linear code over GF(2) with n=328, k=9 and d=160.
This code was found by Heurico 1.16 in 28.7 seconds.