The generator matrix

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

generates a code of length 35 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+51x^32+224x^33+43x^34+128x^37+12x^40+32x^41+20x^42+1x^66

The gray image is a linear code over GF(2) with n=140, k=9 and d=64.
This code was found by Heurico 1.16 in 0.0266 seconds.