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 X X 1 1 1 1 0 X 1 X 1 1 0 1 1 0 1 1 X X 1 1 1 1 X 1 0 X 1 X X 1 X X 1 1 1 1 1 X 1 1 1 X 1 X 1 X 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 X+1 0 X X+1 1 0 X 1 1 0 1 X X 1 1 X+1 1 X+1 0 X X 1 X 1 X+1 X X+1 1 0 X+1 0 1 X 1 0 X+1 X+1 1 X X 1 X 1 0 0 X 0 X 1 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 0 1 1 X+1 1 1 0 X 0 1 1 X+1 X X+1 1 1 0 X X+1 0 1 X+1 1 X X+1 1 X 0 1 X 1 X+1 0 X+1 X X X+1 X+1 0 X+1 X+1 0 X+1 X+1 X X+1 1 1 0 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 0 1 0 1 0 0 X+1 1 0 X+1 0 0 X 1 1 1 X+1 0 1 1 X X+1 X+1 X+1 1 X+1 0 X+1 X+1 1 X X+1 X+1 1 1 0 X 0 1 X 0 X+1 0 0 0 X X X+1 1 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 1 X 1 X 1 1 X X X+1 X+1 0 X+1 1 X+1 X 0 0 0 1 X+1 X 0 X 0 1 X+1 X 0 X+1 X+1 1 X+1 0 1 X+1 0 1 1 0 X X X+1 0 1 1 1 1 X+1 0 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 X 0 X 0 X X 0 X 0 X 0 0 X X X 0 X 0 0 0 X X X X X X 0 0 0 0 X X X X 0 X 0 X X 0 0 X X 0 X X X X 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 X X 0 0 X 0 0 X 0 X X 0 X 0 X X 0 X X 0 X X 0 0 X 0 X 0 0 0 0 0 X 0 X X 0 X 0 X X X 0 0 0 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 X X X X X X X X X X X 0 X X X X X X X X X 0 0 0 X X X X 0 X 0 0 X X 0 X X 0 X X 0 X X 0 generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+129x^64+390x^66+656x^68+702x^70+929x^72+878x^74+1016x^76+848x^78+864x^80+618x^82+533x^84+310x^86+187x^88+82x^90+34x^92+12x^94+1x^100+2x^104 The gray image is a linear code over GF(2) with n=152, k=13 and d=64. This code was found by Heurico 1.16 in 12.2 seconds.