The generator matrix

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

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+26x^30+146x^31+307x^32+226x^33+291x^34+212x^35+252x^36+162x^37+160x^38+104x^39+84x^40+42x^41+27x^42+4x^44+2x^45+2x^47

The gray image is a linear code over GF(2) with n=140, k=11 and d=60.
This code was found by Heurico 1.16 in 0.0886 seconds.