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

generates a code of length 83 over Z2[X]/(X^3) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+98x^80+144x^82+216x^84+16x^86+36x^88+1x^160

The gray image is a linear code over GF(2) with n=332, k=9 and d=160.
This code was found by Heurico 1.16 in 0.329 seconds.