The generator matrix

 1  0  0  1  1  1  0  X  1  1 X^2  1  X  1  1 X^2  1  X  X  1  1  1 X^2+X  1 X^2+X X^2  1  1  1  1  1  1  1  0  1  1  0  1 X^2  X  1  1 X^2 X^2+X  X  1  1  1  1  1  1  0 X^2+X  1  0  1 X^2+X  X  X X^2  X  1 X^2+X  X  1  1 X^2+X X^2  1  0
 0  1  0  0  1  1  1 X^2 X^2 X^2+1  1 X+1  1  X X^2+X+1  X X+1  X  1  1  X X^2+X  1 X^2+X  1  1 X^2  1 X+1 X^2+1 X+1  1 X^2+1 X^2+X X+1 X^2 X^2  X  1  1 X^2 X^2+X  0  X  1 X^2+X+1 X+1 X^2+X  X X^2 X^2  1 X^2  1  1 X+1  1  1  X  X X^2+X X^2  1  1 X^2+1 X^2+1  1  1 X^2+X  1
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X  X  1 X+1 X+1 X^2+X+1  1  0  1 X+1 X^2+X+1 X+1  X  X X^2 X^2 X^2+1 X^2+1  X X^2 X^2+X X^2+X X^2  1  1  1 X^2  1  1 X+1 X^2 X+1  X  1  1 X^2+X X^2 X^2+X  1 X^2  X X^2+X+1 X^2+X  1 X^2+X+1 X^2 X+1 X^2+1 X^2+X  1  X  1 X^2+X  X  1  0 X^2  1 X+1  0 X+1
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0  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+103x^66+138x^67+237x^68+96x^69+116x^70+76x^71+44x^72+16x^73+38x^74+30x^75+65x^76+16x^77+29x^78+8x^79+1x^80+1x^82+4x^83+4x^84+1x^86

The gray image is a linear code over GF(2) with n=280, k=10 and d=132.
This code was found by Heurico 1.11 in 0.125 seconds.