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 1 1 X X 1 X X 1 X 1 X X X 1 1 0 0 X 1 X X 1 X 1 X X 1 0 0 X 1 X 1 X 1 1 0 X 1 X 1 0 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 X 1 1 X+1 1 1 X+1 1 X 1 0 0 0 X+1 X 1 1 0 1 1 0 0 X+1 X 1 1 X 1 1 1 1 1 X X+1 X+1 X 1 0 1 0 X 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 1 X+1 0 X X X 1 1 X+1 1 X 0 X+1 1 X 0 X+1 0 X 1 1 0 1 0 0 1 1 1 X+1 X+1 1 1 X 1 0 1 X 0 1 0 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 0 0 X+1 0 X 0 0 X 0 X 1 1 1 X+1 X 0 1 X 0 1 X+1 1 X+1 X+1 0 1 X 0 1 1 1 X X X+1 X+1 1 1 X X+1 0 1 0 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 X 0 X 0 0 0 X 0 0 X 0 X 0 X X X 0 X 0 X X X 0 X 0 X 0 0 0 0 0 X X X X 0 X 0 X 0 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 X X 0 0 X 0 0 X 0 X X 0 X 0 X X X 0 0 X 0 X X 0 0 X X X 0 X 0 0 X 0 X 0 0 0 X X 0 X X X 0 0 X 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 0 X X X X X 0 X X 0 X 0 X X 0 0 X X X 0 X X 0 0 X 0 X X X X 0 0 X X 0 0 X X 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 X 0 0 X 0 0 X X 0 0 X X X X 0 X X 0 0 X X X 0 0 X X X X X 0 X X X X 0 0 0 X 0 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 0 0 0 0 0 X X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X 0 X X 0 X X X X X X 0 X X X generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+158x^66+399x^68+640x^70+814x^72+803x^74+893x^76+938x^78+905x^80+774x^82+647x^84+550x^86+348x^88+191x^90+79x^92+38x^94+4x^96+2x^98+6x^100+2x^102 The gray image is a linear code over GF(2) with n=156, k=13 and d=66. This code was found by Heurico 1.16 in 13 seconds.