The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 1 X 0 X X 0 0 1 1 1 1 1 X 1 1 1 X X 1 X 1 0 1 1 X 1 1 1 X 0 1 1 1 X 0 1 1 X 0 1 1 X 1 1 0 X 0 1 0 X 1 1 1 1 0 1 1 X X 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 1 X+1 1 1 0 X X+1 X X+1 1 0 1 0 1 1 X X+1 0 1 1 1 X+1 0 X X 1 X 1 1 1 X+1 X 0 X X 1 0 1 0 1 X X 1 X+1 0 X 1 0 X+1 1 X 0 1 1 X 0 X 1 0 X 0 0 0 X+1 1 0 1 X+1 X 0 1 1 1 X 0 X 1 X 1 1 1 X X 0 1 X+1 0 0 X 0 0 1 1 1 0 1 0 1 X+1 0 X X+1 1 1 X+1 0 X X 1 X+1 1 0 X+1 X+1 X 0 X+1 0 X+1 X+1 0 X+1 1 1 1 X 0 1 X+1 X+1 1 X 1 0 1 X 1 1 X+1 1 1 0 0 1 X+1 X 0 1 0 X+1 X+1 X 1 X+1 1 X X X+1 X 0 1 X X+1 1 X 0 1 0 1 1 X+1 X X+1 1 1 1 1 1 X 0 1 0 0 1 1 X 1 0 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 0 0 X X X X X 0 0 X X 0 0 0 X X 0 0 X X X 0 X X X 0 0 0 0 X X 0 X 0 X 0 X 0 X X X X X 0 0 X 0 X 0 X X X X 0 0 X X X 0 X X X 0 X X 0 X 0 0 0 X X X 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X 0 0 X X X X X X 0 X X 0 X 0 0 X 0 X 0 0 0 X X X X X X X 0 X X 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X X 0 0 X X X 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 X X 0 X X X 0 X X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X X 0 X X X X 0 X X X 0 0 0 0 0 0 X X X 0 0 X 0 X 0 X 0 X 0 X X 0 0 X X X 0 X 0 X X 0 0 0 0 0 X 0 X 0 X X 0 X X X 0 0 0 X X 0 X X X X X 0 0 0 0 0 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X 0 X X X X X X X X X X X X X X X 0 X 0 0 X X 0 X X X 0 0 0 X X 0 X X 0 X 0 X 0 0 X X 0 0 X X 0 0 0 X X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X X 0 0 0 X 0 X 0 0 X 0 X 0 X 0 X X 0 X 0 0 0 X 0 X 0 X X 0 X 0 X 0 0 X 0 0 X 0 X X X 0 X 0 X 0 0 0 X 0 0 X X 0 X 0 0 0 X X X X 0 0 X 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X 0 0 0 X 0 X X X X X 0 0 0 0 X 0 X X 0 0 X X X 0 X 0 0 X X 0 0 X X X X 0 0 X X X X 0 X 0 0 X 0 X X 0 0 X 0 0 X 0 0 X X 0 X 0 X 0 X X X 0 X X X 0 0 0 0 X 0 X 0 X X X 0 generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+55x^86+78x^87+135x^88+130x^89+182x^90+170x^91+210x^92+242x^93+227x^94+252x^95+202x^96+220x^97+170x^98+190x^99+193x^100+218x^101+175x^102+170x^103+128x^104+128x^105+117x^106+106x^107+85x^108+66x^109+65x^110+44x^111+47x^112+16x^113+16x^114+14x^115+15x^116+2x^117+14x^118+7x^120+2x^121+3x^122+1x^124 The gray image is a linear code over GF(2) with n=196, k=12 and d=86. This code was found by Heurico 1.16 in 4.7 seconds.