The generator matrix

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

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+100x^79+155x^80+108x^81+256x^82+56x^83+123x^84+52x^85+20x^86+28x^87+56x^88+12x^89+10x^90+4x^93+24x^95+16x^96+1x^100+2x^106

The gray image is a linear code over GF(2) with n=332, k=10 and d=158.
This code was found by Heurico 1.16 in 0.35 seconds.