The generator matrix

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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+66x^59+156x^60+188x^61+201x^62+198x^63+217x^64+232x^65+273x^66+282x^67+219x^68+232x^69+248x^70+220x^71+194x^72+190x^73+178x^74+174x^75+162x^76+134x^77+85x^78+66x^79+66x^80+42x^81+37x^82+14x^83+7x^84+6x^85+2x^86+4x^87+2x^88

The gray image is a linear code over GF(2) with n=138, k=12 and d=59.
This code was found by Heurico 1.16 in 2.57 seconds.