The generator matrix

 1  0  0  1  1  1 X^2+X  1  X  1  1  1 X^2 X^2 X^2  1  1  1  0 X^2  1  X X^2+X  1  0  1  1  X  1  1  1  X  1  1  1  0  1  1  1 X^2  1  1  1  1 X^2 X^2+X  0  1  1  1  1  1  0  1 X^2+X X^2+X  1  X  X  1  0  1  X  1  1  0 X^2+X  1  X X^2  1
 0  1  0  0  1 X+1  1 X^2+1  0 X+1 X^2  0  1  1  0 X^2  1  1  1  1 X^2+X  1  1  1  X  X X^2  1  1 X^2+X X^2+X  1 X^2+X+1  1 X^2+X  X  X X^2+X X^2+X  1  1  X X+1  X  1  X  1 X^2+1 X^2+X+1  0 X^2+X+1  1  1 X^2+1  1  1  0 X^2  1 X^2+X+1  0 X+1  0  0 X^2+1 X^2  1  0  X  1 X^2
 0  0  1  1 X+1  0 X^2+1 X^2+1  1 X^2+X  X X^2+X+1  X X^2+X+1  1 X^2+X+1  0  1 X^2  1  X  0 X+1 X+1  1 X^2+X X+1 X^2+X+1 X^2  0  1 X^2 X^2+X X^2+X+1 X+1  1 X^2 X^2+1 X^2+1  1  X  0 X+1 X+1 X^2  1 X^2+X+1  1 X^2+1  1  0 X^2+X  X X+1  X X^2+X X^2+1  1 X^2+X X^2+X  1 X+1  1  0 X^2+X+1  1 X^2+1 X^2+X+1  1 X^2+X+1  0
 0  0  0  X  X X^2 X^2+X X^2+X X^2+X  0  0  X X^2  X  X X^2 X^2+X X^2  X  0 X^2+X  X  0 X^2 X^2  X  0 X^2+X  0 X^2  X  0  X  X X^2+X  0 X^2+X  X  0  X X^2+X  0  X X^2 X^2 X^2  0  X X^2 X^2  0  0  X  X X^2  0 X^2  0 X^2 X^2+X X^2+X  0 X^2+X  X  0 X^2 X^2+X X^2+X X^2 X^2+X X^2
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 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+26x^64+228x^65+233x^66+426x^67+297x^68+488x^69+287x^70+504x^71+260x^72+374x^73+168x^74+210x^75+120x^76+172x^77+94x^78+92x^79+21x^80+50x^81+13x^82+16x^83+7x^84+3x^86+4x^88+2x^90

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 0.968 seconds.