The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 0 X 1 1 X 1 0 1 1 1 1 0 X 1 1 0 1 0 X 1 1 1 0 1 1 1 1 1 1 1 1 X 0 X 0 1 X 0 1 1 1 1 1 1 1 X 1 X 1 X 0 1 0 1 1 1 1 0 X 1 1 X X 0 X 1 X 0 0 X 1 1 X 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 X 0 1 0 1 X+1 1 X+1 X 1 X 1 1 X 1 X X+1 X 1 1 0 X+1 1 0 X+1 X+1 1 X+1 X+1 X X 1 X 1 X X 1 0 X+1 1 0 X X+1 X 1 1 X+1 1 0 1 1 X 1 0 0 1 X+1 X 1 X+1 1 1 0 1 X 1 1 1 X 1 X+1 1 0 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 1 1 X+1 X+1 0 X+1 1 1 X X 1 X+1 1 0 X 1 0 1 0 X+1 1 X+1 0 X+1 0 X 1 X+1 0 X+1 0 X X X X 1 X+1 1 X 0 X X+1 X+1 1 X X 1 X 0 0 X X X+1 X X X X+1 X 1 X X 1 1 X 0 0 X+1 X+1 1 0 0 X+1 1 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 1 X X+1 X+1 X+1 0 X X+1 X+1 1 0 1 X X 1 0 0 X+1 X X 0 0 X 0 X 0 0 1 X 1 X X 1 1 X X+1 1 X+1 X 0 1 X X+1 0 X+1 0 X+1 0 1 X X+1 0 X+1 0 X 1 X+1 1 X 1 0 X+1 X+1 0 1 X X X+1 X X+1 0 1 X 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 0 1 0 1 X X+1 X+1 X+1 1 X X X 1 X+1 1 0 0 0 X+1 X 0 0 0 X+1 1 0 1 X+1 X+1 0 1 X X 0 1 0 X 0 0 X+1 1 1 X X X+1 1 0 1 X+1 X+1 X 0 X+1 X+1 1 0 X X+1 X+1 0 X+1 X X+1 X+1 X 0 X+1 X X X+1 0 X+1 1 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X+1 1 X+1 1 1 X+1 X X 0 0 1 0 0 X+1 X+1 X 1 1 1 X X+1 X X 0 0 X+1 0 1 1 X+1 X 1 X+1 0 X+1 X+1 X+1 0 X X+1 1 1 X 0 0 0 0 X+1 1 1 X+1 X+1 X+1 X 0 1 0 X+1 0 1 1 X X 1 X 0 X 1 X X+1 0 X 0 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X X 0 X X X 0 0 X 0 X X 0 0 X X 0 0 X 0 X 0 0 X X 0 X X 0 0 X X X 0 0 0 0 X X X 0 X 0 X 0 0 0 X 0 X X X X X X 0 0 X 0 0 X 0 0 X 0 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+215x^78+491x^80+660x^82+752x^84+820x^86+882x^88+838x^90+837x^92+710x^94+637x^96+539x^98+347x^100+247x^102+111x^104+63x^106+36x^108+4x^110+2x^112 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 15.2 seconds.