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

generates a code of length 68 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+132x^60+312x^62+319x^64+248x^66+260x^68+180x^70+167x^72+132x^74+141x^76+90x^78+25x^80+24x^82+11x^84+6x^86

The gray image is a linear code over GF(2) with n=136, k=11 and d=60.
This code was found by Heurico 1.10 in 0.219 seconds.