The generator matrix

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

generates a code of length 70 over Z2[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+146x^65+265x^66+210x^67+237x^68+242x^69+186x^70+140x^71+129x^72+130x^73+75x^74+72x^75+43x^76+46x^77+57x^78+20x^79+22x^80+12x^81+8x^82+6x^83+1x^86

The gray image is a linear code over GF(2) with n=280, k=11 and d=130.
This code was found by Heurico 1.16 in 0.339 seconds.