The generator matrix

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

generates a code of length 35 over Z2[X]/(X^3) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+186x^31+248x^32+364x^33+162x^34+272x^35+175x^36+254x^37+108x^38+146x^39+47x^40+48x^41+18x^42+4x^43+9x^44+6x^45

The gray image is a linear code over GF(2) with n=140, k=11 and d=62.
This code was found by Heurico 1.16 in 80.5 seconds.