The generator matrix

 1  0  0  0  0  1  1  1 X^2  1 X^2+X X^2+X  X  1  1  1  1  1  1 X^2 X^2  1  1  1 X^2 X^2 X^2+X  X  1  1  1  X  1  X  1
 0  1  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2+1  1 X^2+1  1 X^2+1  X  1  1 X^2+X+1 X^2+X X^2+X X^2+X  1  1  1  X X^2+X X+1  1 X^2 X^2+X X^2
 0  0  1  0  0 X^2  1 X^2+1  1  X  X  1  1 X^2+X X^2+X  0 X+1 X^2+1  X X^2+1 X+1 X^2+X+1 X+1 X^2+X  0 X^2+1 X^2+X  0  1 X^2+X+1 X+1 X+1  0 X^2 X^2+X
 0  0  0  1  0 X^2+1  1  0 X^2+1 X^2  1  1  0  1 X^2 X^2+X X+1 X+1 X^2+X+1  0  X X^2+X  0  X  1 X^2  1 X^2+X X+1  1 X^2 X^2+1 X+1  1  1
 0  0  0  0  1  1 X^2  1  1 X^2+X+1  1  X X^2+X+1  0 X^2+X X+1  1  0 X^2+X X^2+X+1 X^2+X X+1  X X^2+1  0  1  X X^2+X  X  1 X^2  0  0 X+1  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+231x^28+806x^29+1277x^30+1810x^31+2607x^32+3306x^33+4099x^34+4342x^35+3994x^36+3722x^37+2801x^38+1714x^39+1088x^40+566x^41+233x^42+98x^43+47x^44+16x^45+6x^46+4x^47

The gray image is a linear code over GF(2) with n=140, k=15 and d=56.
This code was found by Heurico 1.13 in 6.16 seconds.