The generator matrix

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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+93x^64+114x^66+95x^68+82x^70+44x^72+26x^74+22x^76+12x^78+7x^80+2x^82+5x^84+2x^86+2x^88+2x^90+2x^92+1x^96

The gray image is a linear code over GF(2) with n=138, k=9 and d=64.
This code was found by Heurico 1.10 in 0.031 seconds.