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

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+36x^80+170x^81+32x^82+64x^83+24x^84+144x^85+24x^86+2x^88+4x^89+6x^90+2x^97+1x^98+1x^112+1x^114

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 0.41 seconds.