The generator matrix

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

generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+48x^69+114x^70+98x^71+43x^72+88x^73+117x^74+70x^75+49x^76+60x^77+66x^78+44x^79+23x^80+26x^81+42x^82+26x^83+2x^84+14x^85+30x^86+10x^87+5x^88+14x^89+9x^90+6x^91+5x^92+6x^93+6x^94+2x^99

The gray image is a linear code over GF(2) with n=152, k=10 and d=69.
This code was found by Heurico 1.16 in 0.242 seconds.