The generator matrix

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

generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+86x^70+187x^72+198x^74+154x^76+100x^78+74x^80+58x^82+56x^84+30x^86+25x^88+28x^90+10x^92+12x^94+5x^96

The gray image is a linear code over GF(2) with n=154, k=10 and d=70.
This code was found by Heurico 1.10 in 0.078 seconds.