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 1 1 1 0 1 1 0 1 1 X X 0 1 1 0 X X 0 1 0 1 1 1 1 0 X X 1 0 1 0 X X X 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 X 1 1 X 0 X 0 X 1 1 1 X+1 0 1 0 X 1 X 1 0 X X+1 1 1 0 X X+1 1 1 X 1 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 0 0 1 X X+1 1 1 0 0 X X+1 0 X 0 X 1 1 1 0 X+1 0 X X+1 X 1 1 1 0 X 1 0 X+1 1 X+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 0 1 0 X X+1 X X 0 0 X X+1 X+1 X 1 1 X X+1 X+1 X X+1 1 X X+1 X+1 0 1 1 1 1 1 0 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 0 X 0 0 X X X 0 0 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 X X 0 X X X 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 0 0 X 0 X X X 0 X X 0 X 0 0 X 0 X X X X X X X X 0 X X X 0 X X 0 0 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 X X 0 0 0 X 0 X X X 0 X 0 X X X X X 0 0 0 0 0 X X 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 X X X 0 X 0 0 X 0 0 0 X 0 0 X 0 0 0 X X X X X X X 0 0 X 0 0 X 0 0 0 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 0 0 X X X X 0 0 X 0 X X X 0 0 0 0 0 0 X X 0 0 0 X 0 0 0 X 0 X X 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+215x^54+478x^56+622x^58+865x^60+925x^62+1027x^64+1013x^66+910x^68+878x^70+593x^72+365x^74+197x^76+69x^78+20x^80+7x^82+4x^84+1x^86+1x^90+1x^104 The gray image is a linear code over GF(2) with n=130, k=13 and d=54. This code was found by Heurico 1.16 in 19.4 seconds.