The generator matrix

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

generates a code of length 35 over Z2[X]/(X^3) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+127x^28+88x^29+411x^30+448x^31+658x^32+896x^33+841x^34+1192x^35+931x^36+984x^37+647x^38+400x^39+287x^40+80x^41+139x^42+8x^43+42x^44+10x^46+2x^48

The gray image is a linear code over GF(2) with n=140, k=13 and d=56.
This code was found by Heurico 1.16 in 1.8 seconds.