The generator matrix

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

generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+38x^74+71x^76+66x^78+53x^80+4x^82+4x^84+2x^86+10x^88+2x^90+3x^92+2x^100

The gray image is a linear code over GF(2) with n=156, k=8 and d=74.
This code was found by Heurico 1.16 in 0.078 seconds.