The generator matrix

1 0 0 0 0 1 1 1 0 0 X 0 1 1 1 1 1 1 X X 1 1 0 1 X X 1 1 0 0 X 0 0 X 0 1 1 X 1 1 0 X 1 0 1 1 X 1 1 1 X 0 1 1 X 1 1 0 0 X 1 0 1 0 X 1 1 1 0 1 X 1 1 0 X 0
0 1 0 0 0 0 0 0 0 0 0 X X X 0 X 1 1 1 1 X+1 1 1 X+1 1 1 1 X+1 1 X X 1 1 0 X 0 1 1 X+1 X+1 1 1 X 1 X+1 X 0 X+1 0 1 1 0 0 X X X 1 0 1 1 X+1 1 X 1 1 1 1 X+1 X 1 1 1 0 1 1 X
0 0 1 0 0 0 1 1 1 X 1 1 0 1 0 X+1 1 X+1 0 X+1 X+1 X X+1 X X X X X+1 1 1 1 X+1 0 1 X X+1 X+1 0 0 X 0 1 1 0 X X+1 1 1 X X X+1 1 0 0 X 1 X 0 X 0 0 1 X+1 1 0 X 1 1 0 1 X+1 0 0 X+1 X+1 1
0 0 0 1 0 1 X X+1 1 1 0 1 1 0 X 1 1 X 1 X+1 X+1 X X 1 1 X 0 X X+1 X+1 0 0 X 1 1 1 X+1 X+1 X 0 0 X X 1 X+1 X X 1 1 X+1 1 X 0 X+1 1 0 X 1 0 0 1 1 1 0 1 0 X+1 X+1 X X 1 0 X+1 X+1 X+1 X+1
0 0 0 0 1 X 0 X X 1 1 1 1 1 1 X+1 X+1 X 1 X 0 0 X+1 1 0 X+1 1 X+1 1 0 0 1 X X+1 X 0 X+1 1 0 1 X 0 1 0 X+1 X 1 X 0 0 X 0 X X 0 X+1 X+1 1 0 X+1 X X 1 1 0 X+1 X 1 1 1 0 0 X X+1 0 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+54x^69+111x^70+86x^71+50x^72+94x^73+109x^74+70x^75+40x^76+52x^77+85x^78+58x^79+18x^80+30x^81+39x^82+18x^83+9x^84+14x^85+26x^86+12x^87+7x^88+4x^89+8x^90+8x^91+3x^92+6x^93+6x^94+4x^95+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 1.10 in 0.094 seconds.