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 X^2  1  1 X^2 X^2+X  1  1  1  1 X^2+X  0  1  1  1  1  1  X X^2+X  1  0  1  1  X  1 X^2  0  1 X^2  1  1 X^2+X  1  1  0  1  1 X^2  1  1  0  1  1 X^2+X X^2 X^2+X  X  1  1  1  1  1  1  X X^2+X  1 X^2+X X^2  1  0  1  0  X  0  1  X  1  1  1
 0  1  0 X^2 X^2+1  1  1  0  0 X^2 X^2+1  1  1  1 X^2+X  X  X X+1  1  1 X^2+X X+1 X^2+X X^2+X  1  1 X^2+X+1 X^2+X+1  1 X^2+1 X^2+X  1  X X^2+X+1  1  1  X  1  X  1 X^2+X  X  0 X^2+X+1  1  1 X^2  0  1 X+1  0  1 X^2  X  X X^2+X+1 X^2+X  1  1  1  0 X^2+X  X  0 X^2+1  1 X+1 X^2+X X^2  1  1 X^2 X+1  1 X^2+X+1  1  1 X^2 X^2  1  0 X^2+1 X^2
 0  0  1 X^2+X+1 X+1 X^2 X^2+1  X  1  1 X^2+1 X^2+X  X X+1  1  1  X X+1 X^2+1  X X^2+X+1 X^2 X^2+1  0  0 X^2+X+1  1  X  1 X^2 X^2+X  0  1 X^2 X^2+1 X+1 X^2+X+1 X^2+X  0 X^2+X  1  1  1 X^2+1  X X^2+X+1 X^2+1 X^2+X X+1 X^2+X X^2+X+1 X^2+X+1 X+1 X^2+1  1 X^2+X+1 X+1 X^2+X  0 X^2+1  1  1 X+1 X^2+1 X^2+X X^2+X+1  X  1  1  0 X^2  1  1 X^2+X X+1  1 X^2+X+1  1  X  X  1  X 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+48x^80+68x^81+140x^82+84x^83+78x^84+12x^85+30x^86+28x^87+6x^88+4x^90+9x^92+2x^94+1x^100+1x^104

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 0.208 seconds.