The generator matrix

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

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+90x^70+195x^72+192x^74+148x^76+94x^78+74x^80+62x^82+58x^84+30x^86+23x^88+30x^90+6x^92+14x^94+7x^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 1.16 in 0.233 seconds.