The generator matrix
1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 1 1 0 X 1 0 1 1 1 0 1 0 1 0 0 1 X X 0 1 1 1 1 1 X 1 1 1 1 X 0 X 0 1 1 1 1 0 1 X
0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 X+1 0 1 X 1 X+1 X+1 X 1 X+1 0 1 0 1 1 X+1 0 0 1 1 X+1 1 1 0 X 1 X+1 1 X+1 1 1 0 1 1 1 X+1 X+1 X X+1 0 1 X 1 1 0 1 1 1 1 X 0 X 1 1 1 0
0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X X X X X X X 0 0 0 X X X X 0 0 0 X 0 X X 0 X 0 X X X 0 0 X 0 X 0 0 X X 0 X X X X 0 X X X 0 X X 0 0 X X 0 X
0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X X 0 0 X X X 0 X X X 0 X X 0 X 0 0 0 0 X 0 X X X 0 0
0 0 0 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X X X X 0 X 0 0 X 0 X 0 X X X X X 0 X X 0 X 0 0 X 0 0 0 0 X 0 X X X X 0 0 X 0 X X 0 0 X 0 X 0 X 0 X X
0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X X X X 0 0 0 X X X 0 X 0 X X X X X 0 0 X X X 0 X 0 0 0 X X 0 X 0 0 X 0 X X X 0
0 0 0 0 0 0 X 0 X X 0 0 X 0 X X X X X X X X 0 0 X X X X X X X X X X X X X X 0 0 X X X 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 X X 0 0 0 X X X 0 X 0 X 0
0 0 0 0 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 X X 0 0 0 X X 0 X 0 0 X 0 0 X X X 0 X X X X X X 0 0 0 0 X 0 0 X 0 X X X X X 0 0 0 X X 0 X X X X X X 0 0
generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.
Homogenous weight enumerator: w(x)=1x^0+224x^64+250x^68+230x^72+224x^76+72x^80+6x^84+14x^88+3x^96
The gray image is a linear code over GF(2) with n=142, k=10 and d=64.
This code was found by Heurico 1.16 in 39.8 seconds.