The generator matrix

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

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+93x^58+120x^60+124x^62+146x^64+104x^66+112x^68+131x^70+102x^72+45x^74+22x^76+8x^78+5x^80+4x^82+2x^84+1x^86+2x^88+2x^90

The gray image is a linear code over GF(2) with n=132, k=10 and d=58.
This code was found by Heurico 1.16 in 0.28 seconds.