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

generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+100x^72+124x^74+92x^76+66x^78+39x^80+20x^82+22x^84+12x^86+12x^88+10x^90+6x^92+6x^94+2x^98

The gray image is a linear code over GF(2) with n=154, k=9 and d=72.
This code was found by Heurico 1.10 in 0.015 seconds.