The generator matrix

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

generates a code of length 70 over Z2[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+85x^64+140x^65+231x^66+124x^67+273x^68+144x^69+229x^70+108x^71+194x^72+132x^73+135x^74+76x^75+61x^76+32x^77+33x^78+12x^79+15x^80+10x^82+5x^84+2x^86+4x^88+1x^92+1x^96

The gray image is a linear code over GF(2) with n=280, k=11 and d=128.
This code was found by Heurico 1.16 in 0.427 seconds.