The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 X 1 0 X X 1 1 X 0 1 1 1 1 X X 1 1 X 0 0 1 X 0 1 0 X 0 1 X 1 1 1 X 1 1 0 1 1 X X 0 0 1 0 1 X 1 1 X 1 X 0 0 X X X 1 1 1 1 1 X 1 0 1 0 0 1 X 1 1 1 1 X 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X X 0 1 1 X X+1 1 0 1 X 0 1 X X 1 X X+1 1 0 1 1 1 0 X+1 1 1 X X+1 1 X+1 1 1 X 0 1 1 1 X 0 1 1 0 0 1 X+1 1 X+1 X 1 0 0 0 1 1 1 1 X X+1 X+1 1 X+1 1 1 1 X X 1 X+1 0 0 1 X+1 X+1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 1 0 X X 0 0 1 1 X 1 1 X 1 1 1 X 1 1 1 X 1 1 1 0 X+1 X 1 X+1 X+1 1 X+1 X 1 0 1 0 1 0 1 1 1 X X+1 X 1 0 X X+1 0 0 1 1 0 1 X 1 1 X X 1 X+1 0 0 X 1 X X 1 X 0 X 0 X X+1 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 0 X+1 X 0 1 1 0 0 X 0 X+1 0 X+1 1 X 0 1 0 X+1 1 X+1 X+1 0 X 0 1 X+1 X 1 1 1 X 0 0 X+1 X 1 X X+1 X X 1 1 X+1 0 X+1 X+1 1 X 1 1 X X 1 X+1 0 0 0 X X 0 1 X+1 0 X 1 X 0 1 1 X 1 X 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X 0 X 0 0 X 0 0 X 0 X 0 0 X X X 0 0 0 0 X X 0 X 0 X X X X 0 X 0 0 0 X X X 0 X X X X 0 0 0 X X 0 X 0 X 0 0 0 0 0 X 0 X 0 0 X X 0 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X 0 X X X X X 0 X X X 0 X X X 0 X 0 0 0 0 X 0 0 X X 0 0 X 0 0 X 0 0 X X 0 0 X 0 0 X 0 0 0 X X X X 0 X 0 X 0 0 0 0 X 0 0 X 0 0 0 X X X X 0 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X 0 X 0 0 X X X 0 0 0 X X 0 0 X X 0 0 X X X X X X X X X X X X X 0 0 X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X 0 X X 0 X X X X 0 X 0 0 X 0 0 X 0 0 0 X X 0 X 0 X X 0 0 X 0 0 X X 0 X X X 0 0 0 0 X X 0 X X X 0 0 X 0 0 X 0 X X X 0 0 X 0 X X X 0 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X X 0 X 0 X X X 0 0 0 X X 0 X X 0 X X 0 X X 0 0 0 X 0 0 X X X 0 0 0 X X X X 0 0 0 X 0 X X 0 0 X 0 0 X 0 X X 0 0 X X 0 0 X 0 X X X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X X 0 X X X 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X 0 X X X 0 X X X 0 X X 0 0 X X X 0 0 X 0 X 0 X X X 0 0 0 0 0 X 0 0 0 X X X 0 0 X 0 X 0 0 generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+31x^82+76x^83+145x^84+202x^85+322x^86+364x^87+459x^88+448x^89+566x^90+624x^91+633x^92+704x^93+761x^94+802x^95+807x^96+868x^97+837x^98+848x^99+813x^100+884x^101+725x^102+738x^103+701x^104+602x^105+486x^106+424x^107+362x^108+306x^109+239x^110+174x^111+135x^112+64x^113+91x^114+44x^115+29x^116+14x^117+29x^118+2x^119+8x^120+2x^121+4x^122+1x^124+2x^125+4x^126+1x^128+1x^130+1x^132 The gray image is a linear code over GF(2) with n=196, k=14 and d=82. This code was found by Heurico 1.16 in 73.7 seconds.