The generator matrix

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

generates a code of length 35 over Z2[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+33x^30+100x^31+111x^32+118x^33+134x^34+114x^35+114x^36+88x^37+69x^38+64x^39+20x^40+14x^41+17x^42+10x^43+10x^44+4x^45+2x^46+1x^50

The gray image is a linear code over GF(2) with n=140, k=10 and d=60.
This code was found by Heurico 1.16 in 0.0513 seconds.