The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 X 1 1 0 1 0 1 1 1 1 0 X 1 1 0 1 1 0 1 1 X 1 1 1 1 X 0 1 1 1 1 1 0 1 1 1 1 X 1 1 0 1 1 0 1 1 1 1 1 1 1 1 X 1 1 X 0 1 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 1 0 X+1 1 0 X 1 X+1 1 X X+1 X+1 0 1 1 1 X+1 1 0 X 1 X+1 X+1 1 X+1 0 X X+1 1 1 0 1 X X 0 1 X 0 X 1 1 0 0 1 1 X 1 0 X+1 X X X 1 X+1 0 1 X 0 1 1 X 1 1 1 X+1 0 1 X+1 X 1 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X 0 0 0 X X X X X X 0 0 X X X X X X X X 0 X X X X 0 0 X X X 0 X X 0 X 0 X 0 0 X X 0 0 X 0 X X 0 0 X X 0 X X X 0 0 X 0 X X X 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 X 0 0 X X 0 X X 0 X 0 X X X 0 0 0 X 0 X 0 0 0 X X X 0 X X 0 0 X 0 X 0 X X 0 X 0 0 X X 0 X X X X X X 0 0 0 0 0 X X 0 0 0 X X X X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X 0 X 0 X X 0 X 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 0 X X X X 0 X 0 X X X 0 0 X X 0 X 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 X X 0 0 X X 0 X 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 0 0 X X X X 0 0 X X 0 X 0 X X X 0 0 0 X X X 0 X X 0 0 X X 0 X 0 X X X 0 X 0 0 0 X X X X X X X X X 0 X 0 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 0 X X X X X 0 0 0 0 X 0 X 0 0 X X X 0 0 X X X X 0 X X 0 0 0 0 X X X 0 X 0 0 X X 0 X X 0 0 X 0 0 X X X 0 0 0 X 0 X 0 0 X X 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X 0 X X 0 X 0 X X X 0 0 X X 0 X X X 0 X 0 X 0 X 0 X 0 0 0 X X 0 X X X 0 0 X 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 0 0 0 X 0 0 X 0 0 X 0 X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X 0 X 0 X X 0 X 0 X X X 0 X 0 0 0 X 0 X X X X 0 X 0 0 X X X X X 0 X X 0 0 0 0 0 X 0 X 0 X X 0 0 0 X 0 X X 0 0 0 0 X 0 0 X X 0 0 X X X X generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+105x^78+226x^80+185x^82+201x^84+248x^86+206x^88+220x^90+179x^92+170x^94+175x^96+66x^98+15x^100+14x^102+14x^104+8x^106+3x^108+5x^110+2x^112+1x^114+2x^118+2x^124 The gray image is a linear code over GF(2) with n=176, k=11 and d=78. This code was found by Heurico 1.16 in 35 seconds.