The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  1  X  0  1  0  X  0  1  1  0  X  X  0  1  X  1  1  1  1  1  X  0  0  1  1  X  0  0  0  1  1  0  1  X  0  1  1  1  1  1  1  1  1  0  X  1  1  1  0  1  1  1  X  1  1  1  1  1
 0  1  0  0  0  0  0  0  0  1  1  1 X+1  0  1  1  X  1  X  1  0  0  X  1  1  1  0  X X+1 X+1 X+1  1  0  X  1  0  1 X+1  X  X  1  0  1  0  1  1  1  X  X  0  1  X X+1  0  X X+1  X  X  X  0 X+1  X X+1  1  0  0 X+1 X+1  X  X  1
 0  0  1  0  0  0  1  1  1  X  1 X+1 X+1  0  X X+1 X+1  0  1  1 X+1  X  1  0  0  1  X  X X+1 X+1  X  X  X  0  X  1  X X+1  0  X X+1  1  X  1  0  0  1  1  1  X  0 X+1  X  0  1 X+1  1  1  1  0  0  1  1  X  X  1  0  0  0  0  1
 0  0  0  1  0  1  1  0 X+1  X  0  X X+1 X+1  X X+1  X X+1 X+1  1  1  0  X X+1 X+1  X  1  1  X X+1  0 X+1  1  1  0  1  X  X  1  1  1 X+1  X X+1  1  1  X X+1  1  X  1  X  X  1  0  X  X X+1  1 X+1  0  0 X+1  X  1  X X+1  X  1  X  0
 0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X  1 X+1  0  X  0  0 X+1  1 X+1 X+1  0  X  X X+1 X+1  0  X  0 X+1 X+1 X+1  0 X+1  0  X  0  0 X+1  X  0 X+1 X+1  1  1  0  1  1  X  X  0  X X+1  X  0 X+1 X+1 X+1  0  1 X+1  0  1  0  X  X  0 X+1
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  0  0  0  0  X  0  0  0  X  X  X  0  0  X  X  0  0  0  X  X  X  0  X  0  X  X  0  X  0  X  0  0  0  X  0  0  X  X  X  X  X  0  X  0  X  0  0  0  X  X  0  0  0  X  0
 0  0  0  0  0  0  X  0  X  0  X  X  0  X  X  X  X  0  0  0  0  X  0  0  X  X  0  0  X  X  X  0  0  X  0  0  X  0  0  X  0  0  0  X  X  X  0  X  0  X  X  0  0  X  0  X  0  X  0  X  X  X  0  X  X  X  X  0  0  X  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+74x^61+159x^62+170x^63+193x^64+232x^65+239x^66+246x^67+248x^68+228x^69+253x^70+236x^71+231x^72+218x^73+215x^74+196x^75+158x^76+162x^77+121x^78+138x^79+90x^80+92x^81+81x^82+38x^83+34x^84+16x^85+19x^86+5x^88+2x^89+1x^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 1.16 in 2.62 seconds.