The generator matrix

 1  0  0  0  1  1  1  X  0  0  0  1  1  1  1  0  X  1  1  1  0  1  0  X  X  1  0  1  1  0  X  1  X  1  1  1  1  X  0  0  X  1  X  1  1  0  X  0  X  1  0  0  0  1  1  1  0  1  0  X  X  0  1  X  1  X  1  1
 0  1  0  0  0  0  0  0  1  1  1  1 X+1  1  1  X  1  1  X  1  X  0  0  1  1 X+1  0  0 X+1  1  X  0  1 X+1  0  X  X  1  0  X  1  X  X  X X+1  1  0  1  X  1  0  1  1  X X+1  1  X X+1  1  1  1  1 X+1  1 X+1  0 X+1  1
 0  0  1  0  0  1  1  1  X  1 X+1  1  1  X  0  0  X  0 X+1 X+1  1  0  1  1  0  1  1  1 X+1  1  1  X  0  X  0  1 X+1  1  X  1  X  0  X  1 X+1  1  1 X+1  1  X  1  X X+1  X  1 X+1  0 X+1  0  1  1  0  X  1  1  X X+1  1
 0  0  0  1  1  1  0  1  1 X+1  X  0  1 X+1  X  1  1  1  X  0  X  0 X+1  X  X  1  X X+1  X  1  1 X+1 X+1  0  X  X  X  X  1  0  0  X  1 X+1 X+1  1  1 X+1  0  X  0  0 X+1 X+1 X+1  1  1 X+1 X+1  1  1  0  1  1  0  1  1  0
 0  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  X  0  0  0  X  X  X  0  X  X  0  X  X  0  X  X  0  X  0  0  0  X  X  X  0  X  0  X  X  X  0  X  X  0  X  0  0  X  0  X  X  0  0  X  0  0  0  X  X  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  X  0  X  X  0  X  X  X  X  0  0  X  X  0  0  X  0  X  X  0  0  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  0  X  X  X  0  X  0  X  0  0  X  0  X  X  X  X  X  X  X  0  X  X  0  X  X  0  X  0  X  0  X  X  0  0  X  0  0  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+187x^60+212x^62+329x^64+294x^66+261x^68+166x^70+172x^72+136x^74+133x^76+68x^78+58x^80+18x^82+11x^84+2x^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 1.16 in 0.803 seconds.