The generator matrix

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

generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+155x^58+264x^60+306x^62+312x^64+198x^66+200x^68+207x^70+145x^72+106x^74+79x^76+43x^78+18x^80+9x^82+5x^84

The gray image is a linear code over GF(2) with n=132, k=11 and d=58.
This code was found by Heurico 1.16 in 0.81 seconds.