The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 1 0 1 0 X 1 X 1 1 0 1 1 1 0 1 X X 0 0 1 1 1 X 0 1 X 1 0 X X 1 0 1 X 1 X 0 1 1 1 1 1 1 1 1 0 0 X 1 1 1 1 1 0 1 1 X X 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 X+1 1 1 X 0 X 0 1 X+1 1 X+1 X+1 1 X 0 1 1 X+1 1 0 1 X X+1 X X 1 1 0 1 X+1 X 1 0 0 X 1 1 X+1 1 1 X+1 0 X+1 1 0 0 X 0 X 0 X X 1 X+1 X+1 X+1 1 0 1 1 X X 0 X X+1 X 1 0 0 1 1 1 0 1 0 1 X+1 0 X X+1 X 1 1 1 X X+1 1 0 0 0 X+1 X 1 0 X X+1 1 0 1 X 1 0 0 X+1 1 1 0 1 X+1 1 0 1 X X+1 1 X+1 1 X X+1 X+1 X+1 X+1 0 1 0 1 1 1 X X 1 X 0 X+1 0 1 X 1 1 X X+1 0 1 X 0 0 0 X 0 0 0 0 0 X X 0 0 X X 0 0 0 0 X 0 X 0 X X X 0 X X X X 0 X 0 X 0 X 0 0 0 X X 0 0 X 0 X X 0 X X X X 0 X 0 0 0 X X 0 0 0 0 X X 0 X X 0 X 0 0 X X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X X 0 X X 0 0 X X X X X 0 X X 0 X X 0 X 0 0 0 X 0 0 0 0 X X X 0 0 X 0 X X X X 0 X X X 0 X X 0 X X 0 0 0 0 0 X X X X X X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X X X X X 0 X X 0 X 0 0 0 X 0 X X 0 X X X X 0 0 X 0 X 0 0 0 X 0 X X 0 0 0 X 0 0 X X X X 0 0 X 0 0 0 X 0 X 0 X X 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X X X X 0 X X X 0 X 0 X X X X X 0 0 X X X 0 0 0 X 0 X 0 0 X 0 0 0 X X 0 X X X X X X 0 X 0 0 0 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 X 0 X 0 X X X X 0 0 X 0 X 0 X 0 0 X 0 X X X 0 0 X 0 0 X 0 0 0 X 0 0 0 0 X 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 0 0 X X 0 X 0 0 0 X X 0 0 X 0 X X X X X X X 0 0 0 0 0 0 X X X X 0 0 X 0 X 0 X 0 0 X X 0 X X X X X 0 X 0 0 0 X 0 X 0 X X generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+94x^66+259x^68+373x^70+472x^72+484x^74+450x^76+486x^78+415x^80+320x^82+298x^84+215x^86+115x^88+61x^90+30x^92+12x^94+4x^96+3x^100+2x^102+1x^104+1x^106 The gray image is a linear code over GF(2) with n=154, k=12 and d=66. This code was found by Heurico 1.16 in 3.38 seconds.