The generator matrix

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

generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+210x^70+251x^72+318x^74+249x^76+241x^78+162x^80+191x^82+135x^84+113x^86+58x^88+61x^90+26x^92+16x^94+12x^96+2x^98+2x^100

The gray image is a linear code over GF(2) with n=156, k=11 and d=70.
This code was found by Heurico 1.16 in 62.2 seconds.