The generator matrix
1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 X 1 1 1 0 X 1 1 0 1 1 1 1 1 1 1 1 0 X 1 1 0 X 1 X 1 1 1 0 1 1 1 X 0 0 1 X 1 1 1 0 1 1 1 1 1 1 1 1 1 X 1 1 0 X X 1
0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 0 X+1 1 X+1 1 0 X+1 0 1 1 X X+1 1 0 1 X+1 0 1 X 1 X 1 1 X X 1 1 0 1 0 X+1 X 1 X X X+1 1 1 1 1 1 X X 0 1 1 0 X+1 X+1 0 0 1 X+1 X+1 1 0 X+1 1 0 0 0
0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X 0 0 0 0 X X X 0 X X X X X 0 0 X 0 0 0 0 0 0 X X X 0 X 0 0 0 0 X X X 0 X 0 0 X X X 0 0 0 X X 0 X 0 0 0 X 0 0 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X X 0 X X X X 0 X 0 0 X 0 0 X X 0 X X 0 X X X X X X 0 0 X 0 X X X 0 0 X X X 0 X X 0 X X X X 0 X X X 0 0
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 0 X X 0 X X 0 0 X 0 X X 0 0 X X 0 X X X X 0 X X 0 X 0 X X X X 0 X 0 0 0 0 0 0 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0
0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X 0 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 X X X 0 0 0 X 0 X X 0 0 0 X X X 0 0 X 0 0 X 0 0 X X 0 X 0 X 0 X X 0 X X X X 0 0 0 0
0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X X X X X X X X X 0 X 0 0 0 0 X 0 0 0 X X 0 0 X X X X 0 0 X 0 0 0 0 X 0 X 0 X X 0 X 0 0 0 X X 0 0 0 0 0 0 X X 0 X X 0
0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 0 0 X X 0 X X X X X X 0 X X 0 0 X 0 0 0 X X X 0 0 X 0 X X X 0 X X 0 0 X 0 0 0 0 0 X X 0 X 0 0 0 X X 0 X 0 X 0 0 X 0
0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 X 0 X X X X X X X 0 0 0 X 0 0 0 X 0 X 0 X 0 X 0 0 0 X X 0 0 0 0 X X X 0 X X 0 X X 0 0 X 0 0 X 0 X X 0 0 0 0 0
generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 68.
Homogenous weight enumerator: w(x)=1x^0+46x^68+22x^69+80x^70+76x^71+110x^72+100x^73+99x^74+118x^75+109x^76+132x^77+117x^78+128x^79+78x^80+144x^81+82x^82+116x^83+94x^84+86x^85+78x^86+68x^87+43x^88+28x^89+33x^90+6x^91+17x^92+9x^94+7x^96+8x^98+6x^100+4x^102+1x^104+2x^106
The gray image is a linear code over GF(2) with n=158, k=11 and d=68.
This code was found by Heurico 1.16 in 0.974 seconds.