The generator matrix

 1  0  0  0  1  1  1  1 X^2  1  0  X  1  1 X^2+X X^2  1  1  1 X^2+X  1 X^2  1 X^2+X  X  1  0  1  1  X  0  1  1 X^2  1
 0  1  0  0  0  1 X^2 X^2+1  1 X+1 X^2+X  1 X^2+1  X  1  1  X X^2+X+1  1 X^2+X X^2+X X^2  0 X^2  1 X^2+X+1  1 X+1  1  1 X^2  0  1  1  X
 0  0  1  0  0  1 X^2+1  X X^2+X+1 X^2+1  1 X^2 X^2+X  1 X+1  X  0  X X^2+1  1 X+1 X^2+X  1  1  0  X X^2+X+1  1 X^2+X+1  1  X X^2+X+1 X^2+X+1  X X^2
 0  0  0  1 X+1 X^2 X^2+X+1 X^2+1 X^2+1  1  1 X^2+1  X  0 X^2+X X+1  1  0  X X^2+X+1 X+1  1 X^2+X X^2  0 X^2+1 X^2+X X+1 X^2+X  1  1 X^2+1  0  X  X
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0 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+110x^29+419x^30+480x^31+874x^32+728x^33+1006x^34+954x^35+1114x^36+768x^37+769x^38+396x^39+337x^40+136x^41+76x^42+10x^43+8x^44+2x^45+2x^46+2x^48

The gray image is a linear code over GF(2) with n=140, k=13 and d=58.
This code was found by Heurico 1.16 in 1.2 seconds.