The generator matrix

1 0 0 0 0 1 1 1 1 0 X 1 0 1 1 X 1 1 0 1 X 1 1 1 0 X 0 0 1 0 X 1 1 1 0 0 X 0 X X 1 1 1 1 1 1 X 1 1 0 1 1 0 X X 0 1 1 X 1 1 X X 1 1 1 0 1 1 1 1
0 1 0 0 0 0 0 0 X 0 0 X X 1 X+1 1 1 X+1 0 X+1 1 X+1 1 1 1 1 1 1 X 0 1 X+1 X 1 1 1 1 X 0 X X+1 1 0 1 0 1 1 X X 1 0 0 0 X 1 0 X X+1 1 X+1 0 X 1 1 X X 1 X X X+1 0
0 0 1 0 0 0 0 1 1 1 X X+1 1 1 X 0 X+1 0 1 X 1 1 X X+1 0 1 X+1 X 0 1 1 X X 1 1 X+1 0 0 X 1 1 X+1 X+1 1 1 X X+1 1 X X 1 X+1 1 0 X+1 1 X+1 X X+1 X+1 0 X 1 0 0 0 X+1 X+1 1 0 0
0 0 0 1 0 1 0 X 1 1 1 0 X+1 X+1 X+1 X+1 1 X+1 X 0 1 0 X 0 X X X+1 X+1 1 1 1 0 X+1 0 X X 1 1 1 0 X+1 1 0 X X+1 X 0 1 1 1 0 X+1 1 1 1 X+1 0 X X+1 X+1 X 1 X X+1 0 X+1 0 X 1 X 0
0 0 0 0 1 1 X+1 X+1 1 X 1 0 1 1 X+1 1 X X 1 1 X+1 0 X 1 X+1 1 X 0 X 1 X+1 X+1 1 X X X+1 1 X+1 X X X+1 X X+1 X+1 X X X X 0 X X X+1 X+1 X+1 0 X+1 0 1 1 X X X 1 X X+1 0 X+1 X 0 0 0
0 0 0 0 0 X X X X 0 0 X 0 X X 0 X X 0 X 0 X X X 0 0 X X 0 X X 0 0 0 X X X X X X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 0 0 X 0 X X X 0 0 0 0 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+27x^62+64x^63+140x^64+158x^65+124x^66+144x^67+159x^68+142x^69+116x^70+126x^71+117x^72+104x^73+81x^74+84x^75+85x^76+76x^77+66x^78+58x^79+36x^80+24x^81+29x^82+26x^83+30x^84+4x^85+3x^86+8x^87+6x^88+2x^89+2x^90+2x^91+2x^92+2x^93

The gray image is a linear code over GF(2) with n=142, k=11 and d=62.
This code was found by Heurico 1.10 in 0.235 seconds.