The generator matrix

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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+50x^68+80x^69+78x^70+126x^71+88x^72+70x^73+94x^74+70x^75+52x^76+40x^77+35x^78+40x^79+39x^80+18x^81+24x^82+16x^83+9x^84+22x^85+15x^86+12x^87+12x^88+8x^89+8x^90+6x^91+3x^92+2x^93+2x^94+2x^95+2x^96

The gray image is a linear code over GF(2) with n=150, k=10 and d=68.
This code was found by Heurico 1.16 in 0.221 seconds.