The generator matrix

 1  0  0  0  1  1  1  0 X^2  1  X  1  1  0  1  1  X  1  1 X^2+X  X  X X^2+X  1  1  1  0  1  1  1  1  X X^2 X^2+X  1
 0  1  0  0  0  1  1  1 X^2+X  X  1 X^2+1 X^2+X+1  1 X^2 X+1 X^2+X X^2+X+1  1  1  1  1  1  X X^2+X X^2  1 X^2  1 X^2+X X^2+X  1 X^2  0  0
 0  0  1  0  0  1 X^2+1  X  1  1 X+1 X^2+X X^2 X^2+X+1 X^2+1  X X^2 X^2+X+1 X^2 X+1  X X^2+1  0  0 X^2+1 X^2+1 X^2+X+1  0 X+1 X^2+X+1  X X^2+X+1  1  1  0
 0  0  0  1  1 X^2 X^2+1  1 X^2+1  X  X X+1  0 X^2+1 X^2+X+1  1  1 X^2+1  X  1  0  0 X^2+1  1 X+1  X X^2 X^2+X+1 X^2  1  X  0 X^2+1 X^2+X  0
 0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 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+110x^29+338x^30+632x^31+774x^32+790x^33+977x^34+1038x^35+950x^36+838x^37+704x^38+544x^39+275x^40+130x^41+57x^42+6x^43+16x^44+4x^45+4x^46+4x^47

The gray image is a linear code over GF(2) with n=140, k=13 and d=58.
This code was found by Heurico 1.11 in 0.453 seconds.