The generator matrix
1 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 X 1 X 1 1 1 0 0 1 X 1 0 1 X 1 1 0 1 1 0 1 X 1 X 1 0 1 1 X 1 1 X X 1 1 1 1 0 0 0 X X X X 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1
0 1 0 0 1 X+1 1 X X+1 1 0 0 1 1 X X+1 1 1 X X 1 X+1 X 1 0 1 X 1 0 1 1 0 1 X+1 X 1 X+1 0 X 1 1 0 X 0 X 1 X+1 1 1 X 0 X+1 1 1 1 X 0 0 X X X X 0 0 0 0 X X X X 0 1 1 X+1 X+1 X+1 1 X+1
0 0 1 1 X+1 0 X+1 1 X+1 X X 1 X 1 1 X 1 1 1 0 0 1 1 0 1 X X X+1 0 1 X+1 X X+1 X+1 X+1 X X 1 X+1 0 0 1 X X+1 1 1 0 0 X+1 0 X+1 1 X X 1 1 0 X X 0 0 X X 0 0 X X 0 1 X+1 X+1 1 0 1 0 X X+1 X+1
0 0 0 X X X 0 0 0 X X X 0 X X X 0 X 0 0 0 0 X X 0 0 X X X X 0 0 0 X X X 0 0 0 0 X X 0 0 X 0 0 X X X X X X 0 0 0 X X X X X X X X 0 0 0 0 0 0 0 0 0 0 X X 0 0
generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.
Homogenous weight enumerator: w(x)=1x^0+15x^76+32x^77+26x^78+32x^79+15x^80+2x^82+2x^90+1x^92+2x^94
The gray image is a linear code over GF(2) with n=156, k=7 and d=76.
This code was found by Heurico 1.16 in 0.0838 seconds.