The generator matrix

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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+87x^62+190x^64+187x^66+140x^68+100x^70+86x^72+74x^74+50x^76+39x^78+33x^80+19x^82+10x^84+6x^86+2x^88

The gray image is a linear code over GF(2) with n=138, k=10 and d=62.
This code was found by Heurico 1.16 in 0.237 seconds.