The generator matrix

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

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+52x^69+76x^70+100x^71+106x^72+80x^73+97x^74+80x^75+53x^76+54x^77+39x^78+32x^79+45x^80+34x^81+28x^82+24x^83+28x^84+24x^85+9x^86+12x^87+20x^88+2x^89+2x^90+8x^91+3x^92+4x^93+4x^94+4x^97+1x^98+2x^101

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 0.256 seconds.