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

generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+25x^60+88x^61+97x^62+116x^63+107x^64+66x^65+72x^66+62x^67+54x^68+48x^69+46x^70+44x^71+34x^72+30x^73+22x^74+16x^75+25x^76+12x^77+13x^78+10x^79+6x^80+12x^81+6x^82+6x^83+4x^84+2x^87

The gray image is a linear code over GF(2) with n=134, k=10 and d=60.
This code was found by Heurico 1.10 in 0.062 seconds.