The generator matrix

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

generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+41x^58+76x^59+86x^60+118x^61+95x^62+90x^63+70x^64+52x^65+48x^66+42x^67+56x^68+46x^69+44x^70+24x^71+22x^72+22x^73+19x^74+16x^75+18x^76+12x^77+5x^78+6x^79+3x^80+6x^81+4x^82+2x^83

The gray image is a linear code over GF(2) with n=130, k=10 and d=58.
This code was found by Heurico 1.16 in 0.174 seconds.