The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^66+8x^67+2x^68+8x^69+6x^70+1x^72

The gray image is a linear code over GF(2) with n=132, k=5 and d=66.
This code was found by Heurico 1.16 in 0.0422 seconds.