The generator matrix

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

generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+56x^71+82x^72+68x^73+52x^74+40x^75+32x^76+32x^77+24x^78+16x^79+27x^80+14x^81+14x^82+6x^83+10x^84+4x^85+4x^86+6x^87+4x^88+4x^89+2x^90+2x^91+2x^92+4x^93+2x^95+2x^96+2x^97

The gray image is a linear code over GF(2) with n=152, k=9 and d=71.
This code was found by Heurico 1.10 in 846 seconds.