The generator matrix

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

generates a code of length 70 over Z2[X]/(X^3) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+220x^66+233x^68+238x^70+141x^72+108x^74+38x^76+30x^78+1x^80+8x^82+4x^90+1x^92+1x^96

The gray image is a linear code over GF(2) with n=280, k=10 and d=132.
This code was found by Heurico 1.16 in 27.8 seconds.