The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 X 1 1 1 1 X 0 1 X 1 1 0 1 1 1 1 1 0 1 1 0 X 1 1 X 1 0 X 0 1 0 X 0 0 1 1 X 0 1 0 X X 1 0 0 X 1 X 1 0 0 0 1 1 1 1 1 1 1 1 1 1 X X 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 1 0 1 X 0 X 1 X+1 1 X+1 X 1 X X 0 0 X+1 1 0 0 0 1 X 0 1 X 0 1 1 X+1 X X 0 1 1 1 0 1 X+1 1 1 0 1 0 X X X 1 1 0 X 1 X+1 0 X X X+1 0 X+1 X+1 X+1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 1 X X+1 1 X X+1 X+1 0 X X+1 1 X+1 X 1 0 X 1 X+1 1 X 1 0 X 0 0 1 X+1 1 1 1 1 0 1 1 0 1 X+1 X+1 1 1 1 1 1 1 X+1 0 0 1 1 X 0 X+1 X 1 X 0 X X 1 X+1 X 1 X 0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 0 1 1 0 X+1 X 1 1 0 0 1 0 X+1 X X X 1 X 0 X 0 X+1 X+1 1 X+1 1 1 1 X+1 X+1 0 1 0 1 0 X 0 X+1 0 X+1 X 1 0 1 0 1 1 X+1 X+1 0 1 X+1 X+1 X X+1 0 X X+1 X+1 X 0 1 X X 0 0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 1 X+1 0 X+1 X+1 X+1 0 X X 1 X 0 0 X 1 X+1 X+1 1 0 1 X 0 0 0 1 1 X+1 X 0 1 X+1 X 0 X X+1 0 1 X+1 X+1 1 X+1 X+1 X X 0 X 1 X+1 X+1 X+1 X X 1 1 0 1 0 X X 0 X+1 0 X 1 1 0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X 0 X 0 0 0 X X X X 0 X 0 0 X 0 0 X 0 X 0 0 X X 0 0 0 0 X X X X 0 X 0 X X 0 X X 0 0 0 X X 0 X 0 0 X 0 X 0 0 X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X 0 X 0 0 0 X X 0 X 0 0 X 0 0 0 X X X 0 X 0 0 X 0 0 0 X X 0 X X 0 X X 0 0 0 0 X X X 0 X 0 0 X X X 0 X X X X X 0 X 0 X 0 0 0 X X 0 0 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 0 0 0 X X X X X X X X X X X X X X X X X 0 X X X X X X X X X 0 X X 0 X 0 X X X X 0 0 0 0 X 0 X 0 0 0 X X X generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+192x^78+488x^80+712x^82+782x^84+832x^86+802x^88+781x^90+882x^92+731x^94+620x^96+530x^98+399x^100+238x^102+104x^104+73x^106+16x^108+7x^110+1x^112+1x^116 The gray image is a linear code over GF(2) with n=180, k=13 and d=78. This code was found by Heurico 1.16 in 19.8 seconds.