The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  0  0  0  X  1  1  1  1  1  0  X  X  1  1  0  X  X  0  0  1  X  1  1  X  1  1  0  1  1  1  1  1  1  1  X  X  X  X  1  1  0  1  1  1  1  1  1  0  1  1  1  1  1
 0  1  0  0  X  1 X+1  1  0  1  X X+1  1  X  1  1  0  1  0  1  X  1  1  X  1  0  1  0  1  0  0 X+1  1  X X+1  1  X X+1  1  0  1  0  X  1  0 X+1  1  X  1  0  X  1  X  0 X+1  X  1  X  0  X  1  0  1 X+1 X+1
 0  0  1  0  0  0  0  X  1  1  1  1 X+1  1  1  0  X  X X+1 X+1  X X+1  1  1  1  1  X  1 X+1  X  1  X  0  1  1  X X+1 X+1  0 X+1 X+1  X  X  1  0 X+1  1  X  1  0 X+1  0  1  1  X X+1  0  0 X+1  1  X  X X+1  X X+1
 0  0  0  1  1 X+1  X X+1 X+1  0  X  1  X  1 X+1  1  X  1  1  X X+1  1  X X+1  1  X  X  1  0  1  X  0 X+1  0 X+1  1  X  1  1  0 X+1  1  X  X  X  X X+1  1  1  1  0  0  1  1  1  1  1 X+1 X+1 X+1 X+1  0  0  X X+1

generates a code of length 65 over Z2[X]/(X^2) who�s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+88x^62+66x^64+50x^66+22x^68+8x^70+4x^72+8x^74+2x^76+1x^80+6x^82

The gray image is a linear code over GF(2) with n=130, k=8 and d=62.
This code was found by Heurico 1.16 in 0.0684 seconds.