The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 1 1 1 X X 1 1 1 1 X 1 1 X 0 1 1 X X 1 1 X X 1 1
0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X 0 0 0 0 X X X X 0 X X 0 X X 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 X 0 X 0 X X 0 X 0 X X X 0 X 0 X 0 X X X X 0 0 X X 0
0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X X X 0 X 0 0 X 0 X 0 0 0 X X X 0 X X 0 X 0 X 0 X X 0 X X 0 0 0 0 0 X X X 0 0 X X 0 X X X 0 0 0 X X
0 0 0 X 0 0 0 0 0 X 0 X X X 0 0 X X X 0 0 X X X 0 X 0 X 0 0 0 X 0 X X 0 0 X 0 0 X 0 X 0 0 X X X 0 0 X 0 0 X 0 0 0 0 X 0 X X 0 0 X X 0 0 0 X X
0 0 0 0 X 0 0 0 0 X 0 0 0 X 0 X X 0 X X X X X X 0 X 0 X X X 0 0 X 0 0 0 0 X X 0 0 X X X 0 0 X 0 0 0 0 X X 0 X X 0 0 0 0 0 X X 0 X 0 X 0 0 X X
0 0 0 0 0 X 0 0 0 X 0 0 X X X X 0 X 0 X 0 0 0 X 0 X X X X X X X 0 0 X X 0 X X 0 0 0 X X X X X X X 0 X X X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X 0
0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X 0 0 X X 0 X X 0 0 X X X 0 0 0 X X X 0 X 0 X 0 0 0 0 0 X X X X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 X X X 0 X X X X
0 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 X 0 0 X X X X X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X X 0 0 X 0 X 0 X 0 X 0 X 0 X 0 0 X 0 0 X 0 0 X X 0
0 0 0 0 0 0 0 0 X X X 0 X 0 0 0 0 X X X X 0 0 X X 0 0 0 X X 0 X 0 0 0 0 X X 0 0 X 0 X X X 0 X 0 X 0 X 0 X 0 0 X 0 X 0 0 X 0 X X 0 X X 0 X 0 X
generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.
Homogenous weight enumerator: w(x)=1x^0+76x^62+124x^64+44x^66+84x^68+222x^70+189x^72+68x^74+44x^76+78x^78+55x^80+22x^86+14x^88+2x^94+1x^120
The gray image is a linear code over GF(2) with n=142, k=10 and d=62.
This code was found by Heurico 1.16 in 17.9 seconds.