The generator matrix

1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 X X X X 1 1 1 1 1 1 1 X 1 X X 1 1 0 1 1 X 1 1 X 1 1 0 0 1 1 1 0 0 1 1 X 1 1 X X X X 0 0 0 1 1 1 1 X 0 1 1 1 1 1 X 0 0 0
0 1 0 0 0 0 0 X 1 1 1 1 1 1 1 0 X X 1 1 1 X 1 1 X+1 X+1 X 1 X 1 1 X 0 X+1 X+1 X X+1 X+1 0 X+1 X+1 X 0 0 1 1 0 0 1 1 1 X X X X X 1 1 1 1 0 0 0 1 1 X+1 X+1 0 X 0 X 0 X X+1 0 1 1 1
0 0 1 0 1 X X+1 1 0 X+1 1 X 1 X X+1 1 0 1 0 1 X 1 X X+1 X+1 X X+1 1 X X+1 0 X 1 0 1 1 0 1 1 X X+1 1 0 1 0 1 X X+1 X+1 X X+1 0 X+1 0 1 X 0 X+1 1 X 1 0 X 1 X 0 1 1 0 0 X 0 X X+1 X 0 X 1
0 0 0 1 X 1 X+1 1 X+1 0 1 X X 1 X+1 X+1 1 0 1 0 X X 0 1 X X+1 X+1 X+1 X X+1 X 1 X+1 1 0 X+1 X+1 X 1 1 0 0 X 0 X 0 X+1 1 X X+1 1 X 0 1 X+1 1 X 0 X+1 1 0 1 X 1 X 0 1 0 1 1 X+1 X+1 1 0 0 0 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+29x^74+66x^75+28x^76+22x^77+25x^78+18x^79+18x^80+8x^81+8x^82+4x^83+8x^84+1x^86+5x^88+1x^90+4x^91+2x^92+2x^93+2x^95+2x^96+2x^99

The gray image is a linear code over GF(2) with n=156, k=8 and d=74.
This code was found by Heurico 1.10 in 0 seconds.