The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  X  1  1 X^2  1  1  1  1  X  1  1  1  1  0 X^2+X X^2  X  1  1  1 X^2+X  1 X^2  1 X^2  1
 0  1  1 X^2+X X^2+X+1  1 X^2 X+1  1  1  X X^2+1  1  0 X+1 X^2+1 X^2+X  1 X^2+X X^2+1 X^2 X^2+X+1  1  1  1  1 X^2+X+1  0 X^2  1  1  1 X^2  1  1
 0  0  X  0 X^2+X  0  X X^2 X^2+X X^2+X  X X^2  X  0  0 X^2 X^2 X^2+X X^2+X  X  0 X^2  0 X^2  0 X^2+X X^2+X  X X^2+X X^2+X X^2+X X^2+X  X  X X^2+X
 0  0  0 X^2  0  0  0 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2
 0  0  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0
 0  0  0  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0 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+97x^30+72x^31+294x^32+224x^33+271x^34+176x^35+279x^36+224x^37+219x^38+72x^39+79x^40+17x^42+17x^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 1.16 in 0.13 seconds.