The generator matrix

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

generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+30x^59+125x^60+192x^61+275x^62+328x^63+334x^64+420x^65+399x^66+424x^67+459x^68+456x^69+476x^70+444x^71+422x^72+460x^73+504x^74+480x^75+416x^76+328x^77+343x^78+256x^79+167x^80+156x^81+97x^82+72x^83+47x^84+32x^85+17x^86+12x^87+12x^88+4x^89+2x^91+1x^92+1x^102

The gray image is a linear code over GF(2) with n=142, k=13 and d=59.
This code was found by an older version of Heurico in 0 seconds.