The generator matrix

 1  0  0  0  1  1  1  X  1  1  0  1  1  0  X  1  1  1  0  X  X  0  1  1  X  0  1  X  1  1  1  1  1  X  0  0  X  1  0  1  1  1  0  0  1  1  X  1  1  0  X  0  X  X  1  1  1  0  X  1  0  1  0  1  1  1  1  1  1  X  1  0  1  X  0  1  1
 0  1  0  0  0  0  0  0  1  1  1  1 X+1  1  1  X  0  1  X  0  1  1  X  1  1  0  1  1  1  X X+1  0 X+1  1  1  X  1  X  1  0  X  0  1  X  1  X  1  0  1  1  1  X  0  1  X  1  1  1  1  0  0 X+1  X X+1  X  1 X+1  X  X  X X+1  1  X  1  X X+1  1
 0  0  1  0  0  1 X+1  1 X+1  1  X  0  0  1  1  X  0 X+1  1  X  1  X X+1  0  X  1  1 X+1  X  1  0 X+1 X+1 X+1 X+1  X  0  0  X  X  0  X  0  1  1 X+1  0  1  1  0  X  1  1 X+1  X  0  0  X  1 X+1  1  0  X  1  1  X X+1  0 X+1  1  1  1 X+1 X+1  1  1  0
 0  0  0  1  1  1  0  1  X X+1  1  1  0 X+1  0  0 X+1  X  0  1 X+1  X  0  0  1  1  1  0  X  X X+1 X+1  X  0  1  1 X+1 X+1  X  0  X X+1  1  1 X+1 X+1  X  1  0 X+1  X  0 X+1  1  X X+1 X+1 X+1  0  1  1  X  1  1 X+1  0  1  0  0  X  0  0  X  X  X X+1  1
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  0  0  X  0  X  0  X  0  X  X  X  X  X  0  0  X  0  0  X  0  X  X  0  0  0  X  X  X  X  X  X  0  0  0  X  0  0  X  0  X  0  X  0  X  X  X  X  X  0  0
 0  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  0  X  X  X  X  0  0  X  0  X  X  0  X  0  X  0  0  X  0  0  X  0  X  0  0  X  0  0  0  0  X  X  X  X  X  X  0  0  0  X  X  X  0  X  X  X  X  0  0  X  0  X  0  0  X  X  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+94x^70+173x^72+213x^74+126x^76+95x^78+97x^80+71x^82+48x^84+47x^86+19x^88+10x^90+14x^92+10x^94+2x^98+2x^102+2x^104

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 0.241 seconds.