The generator matrix

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

generates a code of length 64 over Z2[X]/(X^3) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+78x^61+103x^62+66x^63+87x^64+52x^65+37x^66+38x^67+7x^68+14x^69+16x^70+6x^71+3x^74+2x^75+1x^84+1x^86

The gray image is a linear code over GF(2) with n=256, k=9 and d=122.
This code was found by Heurico 1.16 in 1.43 seconds.