The generator matrix

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

generates a code of length 35 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+94x^24+120x^26+501x^28+902x^30+256x^31+2023x^32+1024x^33+2432x^34+1536x^35+2671x^36+1024x^37+1836x^38+256x^39+1130x^40+312x^42+195x^44+30x^46+32x^48+9x^52

The gray image is a linear code over GF(2) with n=140, k=14 and d=48.
This code was found by Heurico 1.16 in 7.34 seconds.