The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 0 0 1 X 1 1 1 0 1 X 1 0 1 0 1 1 X 1 1 1 1 1 X 1 1 0 X 1 X 0 1 X 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 X X X 1 0 X 1 0 1 1 1 X 1 1 0 1 1 X 1 1 1 0 1 0 0 1 1 1 0 X 1 X+1 1 1 0 X 1 1 0 X 1 X+1 X 0 X 1 X+1 1 X+1 1 X X+1 0 X+1 0 X+1 0 1 1 0 1 0 1 X 1 1 X+1 1 1 0 X 1 1 1 1 X X 1 0 0 1 X 0 X+1 0 0 1 0 X 0 0 X 0 X X+1 X X 1 X+1 1 1 X+1 1 1 1 X 1 0 0 1 1 1 0 1 0 1 X+1 0 X 1 1 1 X 1 X 1 0 1 1 1 X 1 X 0 1 X 0 1 1 X+1 1 0 1 X X+1 0 X+1 1 0 X 1 0 1 X+1 X X+1 X+1 X X X X+1 1 1 0 1 X 0 1 X X+1 X X X+1 1 1 X+1 1 1 X 1 1 0 X X+1 X X X 1 0 0 0 1 1 0 0 0 X 0 0 0 0 0 X 0 0 X X 0 0 X X X 0 0 0 X 0 X 0 0 0 0 X X 0 0 X X X 0 0 X 0 X X X 0 0 X X X X X X 0 X 0 0 X X 0 X X X X X X 0 0 0 X X X 0 X X 0 0 X 0 0 0 X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X X 0 0 X 0 0 0 X 0 X X X 0 X X X X X 0 X 0 X 0 0 0 X 0 0 0 X X X 0 0 X X 0 X 0 X X 0 0 X X 0 X 0 0 0 0 0 X X X 0 0 X X 0 0 0 X 0 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 0 0 0 0 X 0 X X 0 X 0 0 X X 0 X 0 X X X 0 0 X X X X X X X 0 0 X X X 0 0 X 0 0 X X 0 X X X X X X 0 X X 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 X 0 0 0 X X 0 0 X 0 0 X X X 0 X X X X X 0 X 0 X X X X X 0 0 X 0 X 0 X X X 0 X 0 0 X X X 0 0 0 0 X 0 0 0 X 0 0 X 0 0 0 X X X X X 0 X 0 0 X X 0 X X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 X X 0 X X X X X X 0 X X X X X X X 0 X X X X X X 0 0 0 X 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X 0 X 0 X 0 X 0 0 generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+45x^76+50x^77+77x^78+122x^79+128x^80+126x^81+141x^82+158x^83+130x^84+106x^85+101x^86+110x^87+94x^88+112x^89+87x^90+66x^91+45x^92+68x^93+66x^94+34x^95+41x^96+34x^97+25x^98+14x^99+18x^100+14x^101+11x^102+6x^103+8x^104+3x^106+2x^107+2x^108+2x^109+1x^110 The gray image is a linear code over GF(2) with n=172, k=11 and d=76. This code was found by Heurico 1.16 in 0.948 seconds.