The generator matrix

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

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+142x^60+302x^62+303x^64+268x^66+248x^68+194x^70+167x^72+130x^74+133x^76+82x^78+47x^80+14x^82+13x^84+2x^86+2x^88

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 0.621 seconds.