The generator matrix

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

generates a code of length 35 over Z2[X]/(X^3) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+122x^31+100x^32+98x^33+100x^34+196x^35+95x^36+140x^37+68x^38+66x^39+11x^40+14x^41+4x^42+1x^44+4x^46+4x^49

The gray image is a linear code over GF(2) with n=140, k=10 and d=62.
This code was found by Heurico 1.16 in 83.6 seconds.