The generator matrix

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

generates a code of length 35 over Z2[X]/(X^3) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+43x^28+46x^29+177x^30+202x^31+445x^32+282x^33+631x^34+498x^35+619x^36+262x^37+428x^38+190x^39+160x^40+46x^41+32x^42+6x^43+9x^44+4x^45+11x^46+2x^48+1x^50+1x^52

The gray image is a linear code over GF(2) with n=140, k=12 and d=56.
This code was found by Heurico 1.16 in 0.375 seconds.