The generator matrix

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

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+50x^32+130x^33+64x^34+84x^35+71x^36+34x^37+19x^38+24x^39+12x^40+16x^41+5x^42+2x^48

The gray image is a linear code over GF(2) with n=140, k=9 and d=64.
This code was found by Heurico 1.11 in -3.24e-008 seconds.