The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 X 1 X 1 1 0 1 0 X 1 0 0 1 X 1 1 1 1 1 1 1 1 X 1 1 1 X X X 1 0 X X 1 0 1 1 1 1 1 1 1 X 0 X X 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X 1 X+1 X 0 X X X 1 1 1 1 1 X+1 1 X X X 0 X 0 X+1 X+1 1 1 X+1 0 0 1 0 1 0 1 1 1 1 0 X+1 1 X+1 X+1 X+1 0 0 0 1 0 1 X 1 0 X 1 1 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 1 X+1 X 1 1 0 X 0 X 1 X X 1 0 X 1 0 0 1 X+1 X+1 X+1 X+1 X 1 X X 1 X+1 1 X 1 X+1 X+1 1 1 X 1 1 X X 0 0 1 1 X+1 X 0 0 X X+1 X 1 1 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 X+1 X 1 0 1 1 X+1 1 X+1 0 0 0 X 1 0 X X+1 0 1 X+1 1 X 0 X X 0 1 X 0 0 1 0 1 0 X X+1 X+1 1 0 X+1 X X+1 1 1 X+1 1 1 X+1 X+1 X+1 0 X+1 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X 0 X X 0 X 0 X 0 X 0 0 0 0 X 0 0 X X X 0 0 0 X X X X X X 0 0 X X 0 0 X 0 0 X 0 X X 0 X 0 0 X X 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X X 0 X X 0 0 X X X X X 0 X 0 0 0 0 X X X X X X X X 0 0 0 0 0 X 0 0 X 0 0 0 X X 0 X 0 0 0 0 X X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 X 0 0 0 0 X X X X 0 X X X 0 0 X X 0 X 0 0 X X X 0 0 X 0 X X X X X X X 0 0 0 0 0 0 X 0 X X 0 X X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X X 0 X X 0 0 X 0 0 0 0 X 0 X X X X X 0 X 0 X 0 X 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X 0 X X X X X 0 X X X 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X X X X 0 X X 0 X X 0 0 0 0 X 0 0 X X X X X 0 0 X X 0 0 X X 0 0 0 X 0 X 0 0 X X 0 X 0 X 0 X X 0 X 0 X X generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+187x^70+450x^72+605x^74+748x^76+843x^78+902x^80+876x^82+879x^84+823x^86+698x^88+501x^90+314x^92+205x^94+90x^96+47x^98+11x^100+6x^102+2x^104+2x^106+1x^112+1x^114 The gray image is a linear code over GF(2) with n=164, k=13 and d=70. This code was found by Heurico 1.16 in 77.1 seconds.