The generator matrix

 1  0  0  0  1  1  1  X X^2+X  1  1  0  1 X^2  1  1  1  X  1  1  1 X^2 X^2  1  1  X  1 X^2+X  1  1 X^2 X^2+X  X  X  1
 0  1  0  0 X^2  1 X^2+1  1  1  X X^2+X  1 X+1 X^2+X X+1  X  0  0 X^2 X^2+X+1 X^2+X+1 X^2  1 X^2+X  0  1 X+1  1  X X^2+X+1 X^2+X X^2+X  1 X^2 X+1
 0  0  1  0 X^2+1  1 X^2 X^2+X+1  1  0 X+1  X X^2+1  1  X X^2+X X+1  1 X^2+X+1  0 X^2  1 X+1  0 X^2+X+1 X^2+X  1 X^2+X X^2+1 X^2+X+1  X  1 X+1  X X^2+X+1
 0  0  0  1  1 X^2 X^2+X+1 X^2+X+1  X  1 X^2 X^2+1 X+1 X^2+1  X  1 X+1 X+1 X^2+X X^2+X+1  X X^2+X  0  0 X^2+1 X^2 X^2+X  1 X^2 X+1  1 X+1 X^2+X  1  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+146x^30+368x^31+382x^32+576x^33+375x^34+532x^35+414x^36+464x^37+288x^38+272x^39+147x^40+72x^41+39x^42+12x^43+8x^45

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 0.293 seconds.