The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1 X^2+X X^2+X  1  1  1  1  0  0  1 X^2+X  1  0  1 X^2+X  0 X^2  1 X^2+X  0 X^2+X  0 X^2+X  0  1
 0  1 X+1 X^2+X  1  1  0 X+1  1 X^2+X X^2+1  1  1 X^2+1  0 X^2+X X+1  1  1 X+1  1 X^2+1  1  0  1  1  1 X+1  1  1  1  X  1  1  0
 0  0 X^2  0  0  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 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  0  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0
 0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2  0 X^2 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 X^2  0 X^2
 0  0  0  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2
 0  0  0  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2
 0  0  0  0  0  0  0 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2  0  0
 0  0  0  0  0  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2  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+31x^26+36x^27+93x^28+128x^29+219x^30+300x^31+763x^32+652x^33+1481x^34+852x^35+1427x^36+620x^37+759x^38+324x^39+240x^40+132x^41+53x^42+24x^43+31x^44+4x^45+13x^46+4x^48+3x^50+1x^52+1x^54

The gray image is a linear code over GF(2) with n=140, k=13 and d=52.
This code was found by Heurico 1.16 in 1.57 seconds.