The generator matrix

 1  0  0  1  1  1  0 X^2 X^2  1  1  1  1 X^2+X  1  X  1  X X^2+X  1  1  1  X  1  X X^2  1  1  1  1  1  1  1 X^2  1  0  X  1  1  1  0 X^2  X  1  1 X^2+X  1 X^2 X^2+X  1  1  1  1  1  1  1  0  1  0  1  1  X  1 X^2+X  1  1  1 X^2  1  1
 0  1  0  0 X^2+1 X^2+1  1  X  1 X^2  1 X^2+X X^2+X+1  1 X+1 X^2 X+1  X  1 X^2+1 X^2+X  X  1  X  1  1 X^2  1 X+1 X^2+1 X^2+X+1 X^2+1  1  X X+1  1 X^2+X X^2  X X^2+X  1  0  1 X^2  0  1  1  0  0  1 X^2+X X^2+X+1  X X+1 X+1  0  1 X^2+1  1 X^2 X+1  1 X^2+X+1  1 X^2+X X+1  0  X  0 X^2
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1  X  X X^2+X  1 X^2+1 X^2+1 X+1  1  0  1 X^2+1 X^2+1  1  X  X X^2 X^2 X+1 X^2+X+1  X X^2 X^2+X  X X^2  1  1 X^2+X+1 X^2  1 X^2+1 X^2 X+1  1  1 X+1  1 X^2 X+1  0  1  1 X+1 X^2+1 X^2+X X+1 X^2+X X^2  X X^2+1  0  X X^2 X^2+X X^2 X^2 X^2+X  X  X X^2 X^2+X X^2+X X^2+X
 0  0  0 X^2 X^2  0 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 X^2 X^2 X^2  0  0  0 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 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+103x^66+156x^67+177x^68+124x^69+131x^70+74x^71+64x^72+18x^73+24x^74+42x^75+32x^76+30x^77+29x^78+8x^80+4x^81+5x^84+1x^88+1x^90

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 0.199 seconds.