The generator matrix

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

generates a code of length 83 over Z2[X]/(X^3) who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+82x^79+188x^80+186x^81+179x^82+52x^83+57x^84+30x^85+67x^86+24x^87+40x^88+36x^89+40x^90+30x^91+4x^93+1x^94+4x^95+1x^106+1x^108+1x^112

The gray image is a linear code over GF(2) with n=332, k=10 and d=158.
This code was found by Heurico 1.11 in 0.25 seconds.