The generator matrix

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

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+97x^70+187x^72+185x^74+146x^76+94x^78+89x^80+65x^82+42x^84+32x^86+30x^88+34x^90+15x^92+5x^94+1x^96+1x^100

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 0.316 seconds.