The generator matrix

 1  0  0  1  1  1  0  X  1  1  1  X  1 X^2  1 X^2  1  0  1  1 X^2  1  X  0  1  0  X X^2+X  1  1  1  1 X^2+X  1  1
 0  1  0  0  1  1  1  X X^2+1 X^2+1  X  1 X^2  1 X+1 X^2+X  X  1  0 X^2+X+1  1  0  X  1 X^2+X+1  1  1  1 X+1 X^2 X^2+X X^2  1 X^2  0
 0  0  1  1  0 X+1  1  1  X  1 X+1 X^2+X+1  X X^2+X  0  1  1 X^2 X^2+X+1 X^2+1 X^2+X+1 X+1  1 X^2 X^2+X  X X^2 X^2+X X^2+X+1  X  0  1 X^2+X  0  1
 0  0  0  X X^2 X^2+X  X  X  0 X^2  0  0 X^2+X X^2+X X^2+X X^2 X^2+X X^2 X^2+X X^2  X X^2  0 X^2+X X^2+X X^2  X X^2  X  X X^2 X^2 X^2+X X^2+X  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+38x^30+154x^31+259x^32+260x^33+251x^34+254x^35+218x^36+192x^37+176x^38+118x^39+50x^40+44x^41+19x^42+2x^43+6x^44+4x^46+2x^48

The gray image is a linear code over GF(2) with n=140, k=11 and d=60.
This code was found by Heurico 1.11 in 0.031 seconds.