The generator matrix

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

generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+39x^62+78x^63+104x^64+102x^65+83x^66+84x^67+77x^68+74x^69+63x^70+38x^71+36x^72+56x^73+33x^74+26x^75+13x^76+18x^77+21x^78+12x^79+15x^80+14x^81+12x^82+2x^83+8x^84+8x^85+3x^86+2x^88+2x^90

The gray image is a linear code over GF(2) with n=138, k=10 and d=62.
This code was found by Heurico 1.16 in 0.188 seconds.