The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X  X  X  0  0  0  0  0  0  0  1  1  1  1  1  1  1  1  X  X  X  X  0  0  0  X  0  X  X  X  0  0  0  X  1  1  1  1
 0  X  0  0  0  X  X  X  0  0  0  X  0  X  X  X  0  0  0  X  0  X  X  X  0  0  X  X  0  X  X  X  X  X  X  0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  0  0  X  X  0  X  X  X  X  0  0  0  0  0  X
 0  0  X  0  X  X  X  0  0  0  X  X  X  X  0  0  0  0  X  X  X  X  0  0  0  X  X  0  X  X  0  0  0  X  X  X  X  0  0  0  X  X  X  X  0  0  0  X  X  X  X  X  X  X  X  0  0  0  0  0  0  0  0  0  X  X
 0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  X  X  0  0  0  X  X  0  X  X  0  0  X  X  0  X  X  0  0  X  X  0  X  X  0  0  0  0  X  X  X  0  X  0  0  X  X  0  0  X  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+4x^66+22x^68+4x^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 0.0424 seconds.