The generator matrix

 1  0  0  1  1  1 X^2+X  1  1  1  1  X X^2  0  1  X X^2  1  1  1 X^2 X^2  1 X^2  1  1  1  1 X^2+X  X X^2  1  1  1  1
 0  1  0  0  1 X+1  1 X^2+X X^2+1 X^2+X+1  X  1  1  0 X^2+X+1  1  1  1  1 X^2+X X^2  1 X^2  1 X^2  0  1 X^2+X+1 X^2 X^2+X  0 X^2 X^2+X X^2+X X^2
 0  0  1  1  1  0  1 X^2+1  1 X^2+X  X X+1 X^2  1  1  1 X^2+X  0  1 X+1  1 X^2+1 X+1  0 X^2+X X^2+X X^2+X X^2+X  1  1  1 X+1 X^2+1  0 X^2+X
 0  0  0  X  0  0 X^2 X^2 X^2+X  X  X X^2+X  X  X X^2+X  X  X X^2+X X^2 X^2  0  0  X X^2 X^2  X X^2 X^2 X^2+X X^2 X^2 X^2 X^2 X^2+X  X
 0  0  0  0  X X^2  X X^2+X X^2  X X^2+X X^2 X^2+X X^2+X X^2+X X^2+X  0  0 X^2  0 X^2+X X^2  0 X^2+X X^2+X X^2  0  X X^2  0  X  0  X X^2+X X^2+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+184x^29+262x^30+640x^31+587x^32+1056x^33+700x^34+1390x^35+744x^36+1072x^37+504x^38+566x^39+196x^40+176x^41+68x^42+26x^43+8x^44+8x^45+2x^46+2x^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 1.16 in 55.8 seconds.