The generator matrix

 1  0  1  1  1  0  1  1  0  1  X  1  1  1  0  1  1  0  1  1  1  1  1  0  1  1  X  1  1  1  1  1  1  1  0  1  1  1  0  1  X  1  1  1  X  1  X  1  0  1  0  1  X  0  1  0  1  1  1  1  1  1  1  1  X  0  X  0
 0  1  1  0  1  1  0 X+1  1  1  1  X  0 X+1  1  0 X+1  1  0  0  X  X X+1  1  X  1  1  0  0  0  X  0  0 X+1  1  0  X X+1  1 X+1  1  0 X+1  0  X X+1  0 X+1  X X+1  X X+1  1  X X+1  1  X  1 X+1  X  1  1  0 X+1  X  1  1  1
 0  0  X  0  0  0  0  0  X  X  X  0  0  0  0  X  0  0  X  X  X  X  0  0  X  0  0  0  X  0  X  X  0  X  X  X  0  X  X  0  X  0  X  0  0  X  X  0  X  X  X  X  0  0  0  X  0  X  X  X  X  X  X  X  0  0  X  0
 0  0  0  X  0  0  0  0  0  0  0  X  0  X  X  0  X  X  0  X  X  0  X  X  0  X  X  0  0  X  X  0  0  X  X  X  X  X  X  0  0  X  0  X  X  0  X  X  0  0  0  X  X  X  X  X  0  0  0  0  0  0  0  X  X  0  0  0
 0  0  0  0  X  0  0  X  X  0  X  0  X  X  0  0  X  0  0  X  X  X  X  0  X  X  0  0  X  0  X  X  0  0  X  X  0  0  X  X  X  X  0  X  X  0  0  0  0  X  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  X  0  0
 0  0  0  0  0  X  0  X  0  X  X  0  X  0  0  X  X  X  0  X  X  0  0  0  0  X  X  X  X  X  0  X  X  0  0  0  X  0  0  0  0  X  0  X  0  0  X  0  0  X  0  X  0  X  X  X  0  X  X  X  0  0  X  0  0  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  X  X  0  X  X  X  0  X  X  0  X  X  0  0  0  X  X  0  X  0  X  0  0  X  X  0  X  0  X  X  X  X  0  0  0  X  0  0  X  X  0  X  0  X  X  0  X  0  0  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 62.

Homogenous weight enumerator: w(x)=1x^0+87x^62+86x^64+100x^66+50x^68+52x^70+22x^72+58x^74+21x^76+19x^78+11x^80+2x^82+1x^86+1x^92+1x^102

The gray image is a linear code over GF(2) with n=136, k=9 and d=62.
This code was found by Heurico 1.16 in 0.078 seconds.