The generator matrix

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

generates a code of length 69 over Z2[X]/(X^3) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+164x^63+276x^64+466x^65+420x^66+372x^67+377x^68+380x^69+323x^70+286x^71+226x^72+216x^73+135x^74+146x^75+77x^76+108x^77+45x^78+22x^79+27x^80+14x^81+13x^82+2x^83

The gray image is a linear code over GF(2) with n=276, k=12 and d=126.
This code was found by Heurico 1.11 in 0.328 seconds.