The generator matrix

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

generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+139x^56+328x^58+450x^60+424x^62+543x^64+452x^66+511x^68+404x^70+353x^72+236x^74+140x^76+68x^78+34x^80+8x^82+3x^84+2x^88

The gray image is a linear code over GF(2) with n=132, k=12 and d=56.
This code was found by Heurico 1.16 in 2.45 seconds.