The generator matrix

1 0 0 0 0 1 1 1 1 0 X 1 0 1 X X 0 0 X 1 1 X 1 0 1 1 1 1 1 0 1 1 X X X X 1 X 1 0 0 1 1 X X X 0 1 X X X 1 X 0 1 0 0 0 1 1 1 1 1 X 1 X
0 1 0 0 0 0 0 0 X 0 0 X X 0 1 1 1 1 1 1 1 1 X+1 1 1 X+1 1 X+1 X 0 1 1 X X X 1 X+1 1 X+1 1 1 X X+1 X 0 1 1 X+1 1 1 X 0 X X 1 1 1 1 0 1 X X 0 1 0 1
0 0 1 0 0 0 0 1 1 1 X X+1 1 0 1 X X X+1 X+1 0 X X+1 X+1 X 1 X 1 0 X+1 1 1 X+1 X 1 0 X+1 X 0 X 0 X 1 X 1 1 1 X+1 0 X 0 1 1 0 1 X 0 0 X+1 X X 0 X 0 X+1 X 1
0 0 0 1 0 1 0 X 1 1 1 0 X+1 X+1 X+1 1 X+1 0 1 X X+1 X 1 X X X+1 0 1 X+1 0 1 0 1 0 1 0 X 0 0 1 X X 1 0 1 X+1 X+1 1 1 0 X X 1 0 X+1 X X+1 X 0 X 1 1 X+1 X+1 0 1
0 0 0 0 1 1 X+1 X+1 1 X 1 0 1 X 0 X+1 0 1 1 1 X X X 1 0 1 X+1 X+1 0 1 1 X X X X+1 1 0 0 X+1 0 X+1 X 1 0 X+1 X+1 X 0 1 0 1 1 X X X 0 X+1 0 X+1 X X 0 X X+1 X 0
0 0 0 0 0 X X X X 0 0 X 0 X 0 0 0 0 0 X X 0 X 0 X X 0 0 0 X 0 0 X X X X 0 X 0 X X 0 0 0 X X X X X 0 0 0 0 X 0 0 X X X 0 X 0 0 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+144x^58+290x^60+282x^62+298x^64+250x^66+205x^68+152x^70+157x^72+110x^74+77x^76+50x^78+24x^80+4x^82+4x^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 1.10 in 0.219 seconds.