The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 1 0 X X 0 1 1 X 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 X 0 0 1 X 1 1 X 1 1 0 1 1 X 1 1 X X 1 0 X 0 X 0 1 X X 1 1 1 X 1 1 0 1 1 1 0 0 1 0 1 0 X 0 X 0 1 0 1 1 1 X 1 0 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 1 1 1 0 1 1 1 X 1 X X 0 X 0 X+1 X X+1 X+1 X+1 0 X+1 1 X+1 0 1 1 0 X X X X X X+1 X+1 1 X+1 X 1 0 X 0 1 0 1 0 1 0 X X+1 X 1 X+1 X X+1 X X X+1 1 X+1 X 1 1 1 1 X X+1 X 1 1 1 1 0 1 1 X+1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 0 1 X+1 1 X X+1 1 1 0 0 1 X X 1 X 1 0 X+1 0 X+1 X X 1 X X+1 1 1 1 0 X X+1 0 X+1 X X+1 X+1 X X X 0 1 X+1 1 X+1 1 1 0 1 X 1 1 1 X+1 1 0 X 1 X+1 X+1 X+1 X 0 X 0 1 X+1 1 X X+1 1 0 1 0 0 X 1 1 X 0 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 X+1 X X+1 X+1 1 X 1 X 0 X+1 1 0 0 0 X 1 X+1 X+1 X X 1 X+1 X X+1 X+1 0 1 X X 0 X+1 X X X+1 X+1 X+1 X+1 1 X+1 X X 1 1 X+1 X X 1 0 1 X+1 0 0 0 X 1 X 0 1 0 1 1 0 X+1 1 X 1 X 0 1 X+1 1 X 1 X+1 0 X+1 0 X+1 X 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 X X+1 0 X X 0 0 1 X+1 1 X+1 X+1 X X 0 X+1 X 0 X+1 0 X+1 0 1 0 X 0 0 1 1 0 X 1 0 1 X X 1 X+1 X+1 X 0 X+1 0 1 1 1 1 X+1 X+1 X X+1 X X+1 X X 1 X X X 0 1 X X+1 0 X+1 1 X+1 X+1 0 X+1 1 0 X X X X+1 1 X 0 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X X 0 1 X+1 0 1 X+1 1 0 X+1 X+1 0 1 1 1 X 1 0 1 1 X+1 1 X+1 0 0 X X+1 1 X+1 X+1 1 X+1 0 1 0 1 X+1 1 X+1 1 X+1 0 0 0 0 X 0 1 X+1 X+1 1 X 0 X X 0 1 X+1 0 X+1 0 1 1 X X+1 X+1 X+1 X X+1 X+1 X+1 X 1 X+1 X 0 1 1 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X X 0 0 0 0 X X 0 0 X 0 0 X X X X 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 X X 0 X 0 0 0 X X 0 X X X X 0 X X X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 X X 0 0 X X 0 X X X 0 X generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+267x^84+522x^86+639x^88+772x^90+834x^92+826x^94+786x^96+746x^98+774x^100+632x^102+475x^104+414x^106+246x^108+152x^110+59x^112+28x^114+13x^116+4x^118+2x^124 The gray image is a linear code over GF(2) with n=192, k=13 and d=84. This code was found by Heurico 1.16 in 51.8 seconds.