The generator matrix

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

generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+84x^61+132x^62+176x^63+211x^64+216x^65+244x^66+248x^67+262x^68+238x^69+250x^70+228x^71+200x^72+224x^73+224x^74+192x^75+164x^76+144x^77+162x^78+136x^79+88x^80+88x^81+58x^82+40x^83+30x^84+30x^85+16x^86+4x^87+4x^88+2x^90

The gray image is a linear code over GF(2) with n=142, k=12 and d=61.
This code was found by Heurico 1.10 in 0.922 seconds.