The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 X 1 0 X X 1 X 1 1 0 1 1 X 1 1 1 1 X 1 X X 1 0 1 X 1 X 0 0 0 1 0 1 1 0 1 0 0 1 X X 1 1 1 1 0 0 0 1 1 1 X 1 X 1 1 X 1 1 1 1 X 1 1 X 1 1 1 X 1 0 1 0 0 0 0 0 0 0 X 0 0 X X X X 1 1 1 1 1 1 X+1 1 1 X+1 X+1 0 X+1 1 1 1 1 0 1 X 1 X X 1 0 X X 0 X X 1 X+1 1 X 0 1 1 0 X 1 X 1 0 1 0 X X+1 1 0 0 1 0 X X X 1 X+1 1 X+1 1 0 0 0 X+1 X 1 0 0 1 0 0 0 1 0 X 0 1 X+1 1 X+1 1 1 X 1 X+1 X+1 X X+1 0 X+1 X X 1 X 0 X+1 0 X+1 0 1 X+1 1 0 X 0 1 1 1 1 0 1 0 X+1 X+1 X+1 X X X+1 X+1 X 1 X+1 0 1 1 0 0 X+1 X X X 1 X+1 1 0 0 1 1 1 0 X X 1 X+1 1 0 1 0 0 0 0 1 0 1 1 X 1 1 X X X X+1 X+1 1 1 0 X 1 X+1 X+1 X+1 0 0 X 1 X+1 0 1 1 0 1 1 1 X X+1 X+1 1 1 X 0 0 0 X X+1 X 0 X 1 1 0 1 0 X X+1 X X X+1 X+1 0 X+1 1 X+1 X 1 0 0 1 1 0 0 1 X+1 0 X+1 X+1 0 0 X+1 X+1 1 0 0 0 0 1 1 0 1 0 1 X X+1 1 1 X 1 X+1 X+1 1 X+1 X+1 1 X X 1 X 0 1 1 0 X X 0 X+1 1 X X+1 0 X+1 0 0 X+1 X+1 1 1 0 X+1 X+1 0 X+1 X+1 X X+1 1 0 X+1 0 X+1 1 X+1 X 1 0 X 1 X 0 X+1 0 0 0 1 X X+1 1 X 1 X 0 1 X X+1 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 0 0 0 X X X X X X X X X X X X X X X X X X X 0 X X X 0 X X X 0 0 X 0 X X X X X 0 X 0 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 X 0 0 X X 0 X X X X X 0 0 0 0 X X X X 0 X 0 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 X 0 0 0 X 0 X 0 X 0 X 0 X 0 X X X 0 X 0 0 X X 0 generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+199x^72+382x^74+464x^76+448x^78+483x^80+438x^82+380x^84+346x^86+311x^88+238x^90+202x^92+108x^94+62x^96+22x^98+10x^100+2x^102 The gray image is a linear code over GF(2) with n=164, k=12 and d=72. This code was found by Heurico 1.16 in 3.58 seconds.