The generator matrix

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

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+48x^61+76x^62+72x^63+92x^64+100x^65+100x^66+94x^67+65x^68+54x^69+64x^70+48x^71+31x^72+26x^73+18x^74+22x^75+17x^76+8x^77+20x^78+12x^79+12x^80+14x^81+6x^82+8x^83+6x^84+6x^85+4x^86

The gray image is a linear code over GF(2) with n=136, k=10 and d=61.
This code was found by Heurico 1.10 in 0.062 seconds.