The generator matrix

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

generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+234x^60+391x^64+182x^68+112x^72+62x^76+40x^80+2x^84

The gray image is a linear code over GF(2) with n=132, k=10 and d=60.
This code was found by Heurico 1.10 in 10.7 seconds.