The generator matrix

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

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+40x^28+46x^29+62x^30+172x^31+151x^32+194x^33+273x^34+224x^35+264x^36+178x^37+127x^38+156x^39+48x^40+30x^41+44x^42+24x^43+8x^44+2x^46+3x^50+1x^54

The gray image is a linear code over GF(2) with n=140, k=11 and d=56.
This code was found by Heurico 1.16 in 0.149 seconds.