The generator matrix

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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+76x^57+133x^58+162x^59+232x^60+200x^61+213x^62+260x^63+255x^64+258x^65+188x^66+242x^67+270x^68+222x^69+231x^70+190x^71+210x^72+174x^73+129x^74+124x^75+95x^76+82x^77+51x^78+38x^79+22x^80+12x^81+14x^82+8x^83+2x^84+1x^86+1x^92

The gray image is a linear code over GF(2) with n=134, k=12 and d=57.
This code was found by Heurico 1.16 in 2.46 seconds.