The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 1 1 0 X X 1 1 1 X X 0 1 0 X 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 X 1 X 1 X X 1 X 1 0 1 1 1 X 1 0 X 1 0 X 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 1 1 X+1 X+1 X+1 1 1 X+1 0 1 1 X 1 X 1 0 X X 1 1 X 0 1 1 1 X+1 0 1 0 0 X 1 0 X X 1 0 X X+1 0 1 1 1 X+1 X 0 X+1 1 X X+1 1 1 X X 1 X+1 X X 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X X 0 X 0 X X 0 X X X 1 1 X+1 1 1 X+1 X+1 1 X+1 1 1 X+1 1 X+1 1 0 1 1 X+1 1 1 1 X+1 X+1 X 1 1 0 X+1 0 X 0 1 0 X+1 0 1 1 1 X 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 1 X+1 X X 1 X+1 X X 1 X+1 1 X+1 X 0 1 1 X 0 X X 0 1 0 X X+1 0 X+1 X+1 0 0 X+1 X+1 X 1 X 1 1 1 1 0 0 1 1 X X+1 1 X+1 0 1 X+1 X 0 X 1 1 X 0 X+1 0 X 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 0 0 X X 0 X 1 1 1 0 X X+1 0 0 X X+1 X 0 X+1 0 X 1 X X+1 X+1 X+1 X+1 0 1 1 X X 0 X+1 1 X+1 0 X X+1 1 X+1 1 X X 0 X+1 X+1 1 X+1 1 X 1 0 X X 0 X 0 1 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 1 X+1 1 X+1 1 X X 0 1 0 X+1 X 1 X+1 1 X 0 1 0 1 X X+1 X X+1 1 X+1 X+1 0 0 1 0 X 0 0 X 1 X+1 X+1 0 1 0 X+1 X 1 0 X+1 1 0 1 X+1 1 0 X 0 X+1 1 X+1 X 0 1 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X X+1 X X+1 X X+1 0 1 X 0 X+1 1 X+1 0 1 1 X+1 1 X 1 X X+1 X+1 X X X X+1 1 X 1 0 X+1 X X+1 X+1 X+1 1 X X+1 1 X X+1 X X 1 X+1 X+1 1 X 1 X 1 0 0 1 X X X X 0 1 generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+205x^64+632x^66+982x^68+1248x^70+1559x^72+1680x^74+1908x^76+1732x^78+1872x^80+1626x^82+1273x^84+864x^86+444x^88+268x^90+66x^92+12x^94+6x^96+2x^98+3x^100+1x^136 The gray image is a linear code over GF(2) with n=154, k=14 and d=64. This code was found by Heurico 1.16 in 90.9 seconds.