The generator matrix

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

generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+153x^64+124x^65+324x^66+216x^67+467x^68+280x^69+404x^70+288x^71+404x^72+300x^73+392x^74+216x^75+218x^76+96x^77+100x^78+16x^79+35x^80+16x^82+23x^84+8x^86+6x^88+4x^90+4x^92+1x^96

The gray image is a linear code over GF(2) with n=284, k=12 and d=128.
This code was found by Heurico 1.16 in 1.1 seconds.