The generator matrix

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

generates a code of length 82 over Z2[X]/(X^3) who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+64x^79+193x^80+49x^82+32x^83+104x^84+8x^86+32x^87+22x^88+6x^90+1x^130

The gray image is a linear code over GF(2) with n=328, k=9 and d=158.
This code was found by Heurico 1.16 in 47.7 seconds.