The generator matrix

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

generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+18x^62+68x^63+37x^64+37x^66+44x^67+16x^68+6x^70+4x^71+4x^72+1x^74+4x^75+8x^79+6x^80+1x^82+1x^90

The gray image is a linear code over GF(2) with n=132, k=8 and d=62.
This code was found by Heurico 1.16 in 0.047 seconds.