The generator matrix

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

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+90x^28+388x^29+633x^30+920x^31+1324x^32+1720x^33+2056x^34+2164x^35+2063x^36+1682x^37+1342x^38+986x^39+533x^40+268x^41+128x^42+56x^43+19x^44+6x^45+1x^46+2x^47+2x^48

The gray image is a linear code over GF(2) with n=140, k=14 and d=56.
This code was found by Heurico 1.13 in 1.72 seconds.