The generator matrix

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

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+176x^56+498x^58+766x^60+806x^62+941x^64+966x^66+962x^68+904x^70+868x^72+554x^74+415x^76+210x^78+86x^80+30x^82+8x^84+1x^92

The gray image is a linear code over GF(2) with n=134, k=13 and d=56.
This code was found by Heurico 1.10 in 3.22 seconds.