The generator matrix

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

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+42x^80+108x^81+76x^82+118x^83+62x^84+36x^85+16x^86+22x^87+18x^88+4x^89+2x^90+1x^92+1x^94+4x^96+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 1.11 in 0.157 seconds.