The generator matrix

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

generates a code of length 35 over Z2[X]/(X^3) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+52x^29+121x^30+178x^31+151x^32+210x^33+262x^34+206x^35+229x^36+172x^37+137x^38+118x^39+90x^40+50x^41+20x^42+26x^43+9x^44+12x^45+4x^46

The gray image is a linear code over GF(2) with n=140, k=11 and d=58.
This code was found by Heurico 1.16 in 0.145 seconds.