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  1  0  1  1  X  1  1  0  0  1  1  1  1  1  1  X  1  1  0  1  1  1  X  1  1  1  1  1  0  1  0  X  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  1  X  X  1  0  X  1  1  X  0  1  0  0  X  1  X X+1  1  1 X+1  1  1  X  1  0  0  0  1  1  1  0  X
 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  X  0  0  X  X  0  X  X  0  X  0  0  X  X  X  0  0  0  0  X  X  0  X  0  0  0  X  0  X  X  X  X
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  0  X  X  0  0  0  X  X  X  X  X  X  X  X  0  0  0  X  X  0  0  X  X  X  0  0  X  X  X  0  X  X  X  X  0  0  X  X  X  X  0  0  0
 0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  X  0  X  X  X  0  X  X  X  0  X  0  X  X  0  X  X  X  0  X  X  X  X  X  X  0  X  X  0  X  X  0  X  0  0  X  0  X  0  0  0  X  X  0  0  0  X  0  X  X  X  0  0
 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  X  0  X  0  X  X  0  X  0  0  X  0  X  0  X  X  0  X  X  0  X  X  X  X  X  0  0  X  X  X  X
 0  0  0  0  0  0  X  0  X  X  0  0  X  X  X  0  0  0  X  0  X  X  X  X  0  0  0  0  X  X  X  0  0  0  X  X  0  X  0  0  X  X  0  X  X  X  0  X  0  0  0  X  X  X  X  0  0  0  X  0  0  0  0  X  0  0  X  X
 0  0  0  0  0  0  0  X  X  0  X  0  X  X  0  0  X  X  0  X  X  X  0  X  X  X  0  0  X  X  X  X  0  0  X  0  X  X  X  X  0  0  0  0  X  0  X  0  0  0  0  X  0  0  0  0  X  0  X  0  X  X  X  0  0  X  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+87x^60+122x^62+141x^64+133x^66+98x^68+133x^70+122x^72+94x^74+51x^76+11x^78+8x^80+11x^82+2x^84+5x^86+2x^90+2x^92+1x^94

The gray image is a linear code over GF(2) with n=136, k=10 and d=60.
This code was found by Heurico 1.16 in 0.234 seconds.