The generator matrix

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

generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+83x^68+138x^70+108x^72+46x^74+46x^76+28x^78+21x^80+12x^82+9x^84+6x^86+2x^88+6x^90+2x^92+4x^94

The gray image is a linear code over GF(2) with n=146, k=9 and d=68.
This code was found by Heurico 1.10 in 0.016 seconds.