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  X  X  X  0  0  0  1  1  1  1  1  X  X  X  0  0  0  1  1  1  1  1  X  0  X  X  0  X  0  X  X  0  X  0  X  0  X  1  1  1  1  1  1  1
 0  X  0  X  0  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  X  X  0  X  X  0  0  X  0  X  X  X  X  0  X  0  0  X  X  0  0  0  X  X  X  X  0  0  0  X  X  X  X  0  0  0  X  X  0  0  X
 0  0  X  X  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  X  0  X  X  X  0  0  X  X  X  X  0  0  X  X  0  0  X  X  0  X  X  0  X  X  0  0  0  X  X  X  X  0  0  0  0  X  X  0  0  X  X

generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+8x^69+3x^70+3x^72+1x^78

The gray image is a linear code over GF(2) with n=132, k=4 and d=69.
This code was found by Heurico 1.16 in 0.0627 seconds.