The generator matrix

 1  0  0  1  1  1  X  1 X^2+X  1  1 X^2+X  1 X^2  1 X^2 X^2 X^2+X  1  1  1  X  1  1  1  0  0  1  X X^2  1  1  1  1  1
 0  1  0  X  1 X^2+X+1  1 X^2+X X^2  X X+1  1 X+1  1 X^2+X+1  1  X  1 X^2+X X^2+1  0  1 X^2+X  1  X X^2  1  1  1  X X+1  0  0 X^2+X  0
 0  0  1  1 X^2+X+1 X^2+X  1 X+1  1  X  0  0 X+1  1  1 X^2+1  1 X+1 X+1  0 X+1 X^2+1 X^2 X^2+1 X^2+X+1  1  X X^2 X+1  1 X+1 X^2  X X^2+1  0
 0  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0
 0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2  0  0  0  0  0 X^2  0  0 X^2  0
 0  0  0  0  0 X^2  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2
 0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 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+48x^28+142x^29+294x^30+636x^31+544x^32+836x^33+894x^34+1340x^35+960x^36+952x^37+542x^38+564x^39+214x^40+108x^41+54x^42+20x^43+24x^44+10x^45+4x^46+1x^48+4x^50

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 1.28 seconds.