The generator matrix

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

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+82x^29+195x^30+238x^31+376x^32+432x^33+470x^34+600x^35+477x^36+400x^37+344x^38+168x^39+123x^40+104x^41+42x^42+16x^43+15x^44+6x^45+5x^46+2x^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 15.9 seconds.