The generator matrix

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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+209x^56+456x^58+746x^60+820x^62+949x^64+952x^66+1003x^68+922x^70+815x^72+584x^74+401x^76+208x^78+89x^80+24x^82+9x^84+2x^86+1x^92+1x^96

The gray image is a linear code over GF(2) with n=134, k=13 and d=56.
This code was found by Heurico 1.16 in 10.1 seconds.