The generator matrix
1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 X 1 1 0 1 1 0 1 1 1 0 X 1 1 0 0 1 1 1 1 X 1 1 1 1 X 0 1 1 1 1 1 1 1 0 X 1 0 1 X 1 1 0 0 1 1 1 1 1 0 X 1
0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 1 0 X+1 1 0 X 1 X+1 X 1 X+1 X+1 0 1 1 1 X+1 1 1 0 X X+1 X+1 1 X+1 0 X X+1 1 1 0 1 X X 0 0 X 1 1 1 1 X 1 0 1 1 1 0 X X+1 X+1 X+1 1 1 X+1
0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X 0 0 X 0 X X X X X 0 0 X X X X X X X X 0 X X X X 0 0 X X X X X 0 0 X X 0 X X 0 0 0 0 X 0 X X 0 X X
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 X 0 X 0 X 0 X X 0 X 0 X 0 X X 0 0 X 0 X 0 0 0 X X X 0 X X X 0 0 0 X X 0 0 X 0 X X 0 0 X X X 0 0 X
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X 0 X 0 X X X 0 0 0 0 0 X 0 0 X X 0 0 0 0 X 0 0 0 X X X X 0 X 0 X X X X X X X 0 0 0 X 0 X X X X 0 X X 0 0
0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 0 0 X X X X 0 X 0 X 0 X 0 X X X 0 X 0 0 X X 0 X X 0 0 X X 0 X 0 X X X 0 X 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 0 0
0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 0 X X X X 0 X 0 0 0 X 0 X 0 0 X X X 0 0 X X X X 0 X X 0 0 0 0 X X X X 0 0 0 X 0 0 0 X X 0 X X 0 X 0 0 0
0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X 0 X X 0 X 0 X X 0 X 0 X X 0 X X X 0 X X 0 0 X 0 X 0 0 0 X X 0 X X X X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 X X X 0
0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X 0 X 0 X X 0 X 0 X X X 0 X 0 0 0 X 0 X X X X 0 X 0 0 X X X 0 X 0 X 0 0 X X X X X 0 X X X 0 X X X X 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+93x^62+128x^63+150x^64+68x^66+256x^67+60x^68+171x^70+256x^71+160x^72+60x^74+256x^75+68x^76+83x^78+128x^79+56x^80+33x^86+16x^88+4x^94+1x^96
The gray image is a linear code over GF(2) with n=142, k=11 and d=62.
This code was found by Heurico 1.16 in 57.2 seconds.