The generator matrix

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

generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+264x^72+361x^76+177x^80+113x^84+62x^88+27x^92+16x^96+3x^100

The gray image is a linear code over GF(2) with n=156, k=10 and d=72.
This code was found by Heurico 1.10 in 0.11 seconds.