The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  0  1  1  1 X^2  1  X X^2+X  1  1  1  1  X  X  X  1  1 X^2 X^2  1 X^2  0
 0  1  1  0  1  1  X X^2+X+1  1 X^2+X  1 X^2+X+1  0  1 X+1 X^2+1 X^2  1  0  1  1 X+1 X^2  1  X  1  1 X^2 X^2+X X^2  0 X^2 X+1  X  1
 0  0  X  0  0  0  0  0  0 X^2 X^2  X  X  X  0 X^2+X  X X^2+X X^2+X X^2+X X^2 X^2+X  0 X^2 X^2+X X^2+X  X X^2+X  X  X  X  X X^2  X  X
 0  0  0  X  0  0  X X^2  X X^2 X^2+X  0  0  0 X^2+X X^2+X X^2+X X^2+X  X X^2  X  0 X^2  X X^2 X^2+X  X X^2+X X^2  X X^2 X^2+X X^2+X  X X^2
 0  0  0  0  X  0  0  X X^2 X^2  0 X^2 X^2+X  X X^2+X X^2 X^2+X  X  0 X^2 X^2+X X^2+X X^2+X X^2  0 X^2  0 X^2+X X^2+X X^2+X  X X^2 X^2+X  0 X^2+X
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  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+120x^28+72x^29+514x^30+316x^31+818x^32+732x^33+1142x^34+864x^35+1106x^36+672x^37+826x^38+348x^39+412x^40+60x^41+130x^42+8x^43+38x^44+12x^46+1x^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 1.68 seconds.