The generator matrix

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

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+58x^29+200x^30+294x^31+331x^32+446x^33+547x^34+540x^35+416x^36+366x^37+363x^38+236x^39+140x^40+82x^41+41x^42+12x^43+8x^44+8x^45+1x^46+6x^47

The gray image is a linear code over GF(2) with n=140, k=12 and d=58.
This code was found by Heurico 1.16 in 0.391 seconds.