The generator matrix

 1  0  0  0  0  1  1  1  0  1 X^2  1  1  1  1  X X^2  1  0  0 X^2+X X^2  1  X  1  X  1  1  1  1  0  1 X^2+X  1  1
 0  1  0  0  0  0 X+1  X X^2 X+1  1 X^2 X^2+1 X+1 X^2+X+1  1  X  0  1  1  1  0  1 X^2+X X^2  1 X^2+X+1  1 X^2+1 X+1  0 X^2+X  1 X^2+X  0
 0  0  1  0  0  0  1 X+1  1 X^2+1 X^2 X^2+1 X^2+X X^2+X+1 X^2+X X^2+1  X X^2  0 X^2+X+1  X  1  0  1  X X+1 X^2+1  1 X^2+X+1 X^2+X+1  X  X  1 X+1  0
 0  0  0  1  0  1 X^2 X^2+1  1 X+1 X^2+1 X^2+X X^2 X^2+1 X+1  X  1 X+1 X^2+X+1  X  X X^2+X X^2+1 X^2 X^2  1 X^2  1  0 X^2+X+1 X^2+X X^2+1 X^2 X^2  0
 0  0  0  0  1  1 X^2+1  X X+1 X^2+1 X^2+X X^2+1  0 X^2 X^2+X+1  X X^2+X+1  X  1 X^2+X+1 X+1 X^2+1 X^2+X  X X^2+X+1  1  0 X^2+X+1  1 X^2  1  1  1 X^2+1  0
 0  0  0  0  0  X  0  X  X X^2+X  X X^2  0  X  X  0 X^2+X  X X^2 X^2+X  X X^2+X X^2 X^2+X X^2  0  X  0  X  0  X  X X^2 X^2+X  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+126x^26+604x^27+1498x^28+2498x^29+4960x^30+6730x^31+10759x^32+12552x^33+17064x^34+16288x^35+17758x^36+13160x^37+11534x^38+6864x^39+4370x^40+2080x^41+1288x^42+540x^43+232x^44+110x^45+34x^46+14x^47+6x^48+2x^50

The gray image is a linear code over GF(2) with n=140, k=17 and d=52.
This code was found by Heurico 1.13 in 85.6 seconds.