The generator matrix

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

generates a code of length 82 over Z2[X]/(X^3) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+44x^81+33x^82+28x^83+10x^84+2x^85+2x^86+2x^87+1x^88+2x^89+2x^91+1x^98

The gray image is a linear code over GF(2) with n=328, k=7 and d=162.
This code was found by Heurico 1.16 in 0.279 seconds.