The generator matrix

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

generates a code of length 35 over Z2[X]/(X^3) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+55x^26+62x^27+206x^28+170x^29+736x^30+436x^31+1948x^32+860x^33+3200x^34+1040x^35+3209x^36+848x^37+1952x^38+460x^39+734x^40+164x^41+180x^42+50x^43+40x^44+6x^45+16x^46+5x^48+4x^50+1x^52+1x^58

The gray image is a linear code over GF(2) with n=140, k=14 and d=52.
This code was found by Heurico 1.16 in 6.22 seconds.