The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 X 0 1 X 0 1 1 1 0 1 X 0 1 1 1 1 0 1 0 X 1 1 1 1 1 1 0 0 0 0 X 0 1 0 1 0 1 1 1 1 1 1 1 X X 0 1 1 1 1 1 1 1 0 1 1 0 X X 1 0 0 1 0 X 1 X 1 X 0 X 0 1 X X X X 0 0 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 0 1 X X X+1 0 1 1 1 1 X+1 0 0 1 0 1 1 0 0 X 1 X X 1 1 X 1 X 1 0 1 X+1 1 1 1 X X 1 X X+1 0 1 0 X+1 X+1 X X+1 0 X+1 1 1 0 1 0 X 1 1 0 X X 0 0 1 1 X+1 1 1 0 1 X 1 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 1 0 X+1 1 0 X+1 X 1 1 0 X+1 1 X+1 X+1 0 X+1 0 X 0 X X X X+1 X 0 1 1 X 1 0 1 0 1 X+1 X+1 X+1 X X+1 1 1 X X+1 X 1 X+1 1 X+1 0 0 0 X X+1 X X 0 1 1 1 1 X+1 1 1 1 1 1 X 1 0 X+1 1 1 X 1 1 1 X+1 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X X X X 0 X X 0 0 0 X 0 X 0 0 0 X X X X 0 0 0 X 0 0 0 X X X 0 0 X 0 0 0 X X 0 X 0 0 0 X X X 0 0 0 0 0 X 0 0 0 0 0 X X X X X 0 X 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 X X X X 0 X X X 0 X 0 0 X X 0 0 X 0 0 X 0 X X 0 0 X X 0 0 0 0 0 0 X X X X X X X 0 0 0 0 0 0 X X 0 0 X X 0 0 X 0 0 0 X X 0 0 0 X X 0 X X 0 0 X X X 0 X X 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X X 0 X X X 0 0 0 0 X 0 0 0 X 0 X 0 X X X X X 0 X 0 0 X X 0 X 0 0 X X 0 X 0 X 0 X X X X X 0 0 X X 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X 0 X X 0 0 X X 0 0 0 X 0 X 0 0 X 0 X 0 X X X 0 X X X 0 X X X X X 0 X X 0 X 0 0 X X X X 0 X 0 0 0 0 X 0 0 X X 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X 0 0 0 X X X 0 X 0 X X 0 X 0 0 0 X 0 0 X X X X 0 0 X 0 0 0 X X X 0 0 0 0 X X 0 0 0 0 X X X X X X X 0 X 0 0 X 0 0 X 0 0 X X 0 X X X 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X X 0 0 X X 0 X X X 0 0 X X 0 X 0 X 0 0 0 X 0 X 0 X 0 0 0 X X 0 0 X X X 0 X X X 0 X 0 X X 0 X 0 0 0 X 0 X X 0 0 X X X 0 X 0 0 0 X X X 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 0 X 0 0 0 0 X X 0 X 0 0 0 0 0 X X X 0 X 0 X X 0 X X X 0 0 X X X 0 0 X 0 X X 0 X 0 X X 0 X X X 0 0 0 0 0 X X X 0 X X X X 0 0 0 0 0 X 0 X X 0 X X generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+62x^82+258x^84+498x^86+561x^88+715x^90+843x^92+847x^94+824x^96+826x^98+791x^100+651x^102+485x^104+361x^106+238x^108+93x^110+72x^112+31x^114+13x^116+7x^118+8x^120+4x^122+1x^124+1x^128+1x^130 The gray image is a linear code over GF(2) with n=192, k=13 and d=82. This code was found by Heurico 1.16 in 18 seconds.