The generator matrix

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

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+236x^30+152x^31+625x^32+248x^33+750x^34+240x^35+666x^36+240x^37+498x^38+120x^39+222x^40+24x^41+50x^42+22x^44+2x^46

The gray image is a linear code over GF(2) with n=140, k=12 and d=60.
This code was found by Heurico 1.16 in 0.405 seconds.