The generator matrix

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

generates a code of length 68 over Z2[X]/(X^2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+60x^61+102x^62+72x^63+64x^64+76x^65+118x^66+92x^67+18x^68+58x^69+84x^70+48x^71+25x^72+36x^73+46x^74+20x^75+6x^76+16x^77+22x^78+16x^79+13x^80+8x^81+10x^82+8x^83+2x^85+1x^88+2x^90

The gray image is a linear code over GF(2) with n=136, k=10 and d=61.
This code was found by Heurico 1.16 in 66 seconds.