The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 1 X 1 1 0 1 0 1 1 0 X 1 1 1 1 0 1 0 1 X 1 1 X 1 1 X 1 0 1 1 1 1 1 1 1 1 X 0 1 0 1 1 0 1 1 X 1 0 1 X 1 1 X X 1 0 X 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 1 X+1 X X+1 1 X+1 0 1 X 1 X+1 0 1 1 X X X+1 1 1 X+1 1 X+1 1 0 0 1 X+1 1 1 0 1 1 X X+1 X X+1 0 X+1 X 1 1 X+1 1 X+1 1 X 0 X 1 X+1 1 1 1 1 1 1 1 X 1 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X X X X 0 X 0 0 X 0 X X 0 0 0 X 0 0 X X 0 0 X X X X X X X 0 X X X 0 0 0 0 X X X 0 X X X X X X 0 X X X X 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X 0 0 0 0 X X X X X X X 0 0 X 0 0 X 0 0 0 X 0 X X X X 0 0 X X X X X X 0 X X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 X X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 0 X X 0 X 0 0 X X 0 0 X X 0 0 X X X X X 0 X X X 0 0 X 0 X 0 X X 0 0 X 0 0 X X X X X 0 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X X 0 X X 0 X X X X 0 X X X 0 X X X 0 0 X 0 0 0 0 X 0 0 X X 0 X X X X X 0 X 0 X 0 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 X X X 0 X X 0 X X X X X X 0 X 0 X X X 0 0 X X 0 X X X X X X 0 0 0 0 0 X 0 X 0 X 0 0 0 0 0 X 0 X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X 0 X X 0 0 X 0 0 0 X X 0 0 0 0 X X X X 0 X X X X 0 X 0 X 0 X X X 0 0 0 X X 0 X X 0 0 X X 0 0 0 0 X X X 0 X 0 X X X X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 0 X 0 0 0 X X X 0 X X X 0 0 X 0 X X X 0 X X 0 0 0 X 0 X 0 X 0 X X X 0 0 X 0 0 X X 0 0 0 X 0 0 X 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X X X X 0 X 0 0 0 X 0 0 X X X 0 0 0 0 X 0 X 0 X X X X 0 X X 0 0 0 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 X X 0 X 0 0 X 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+114x^64+90x^66+388x^68+276x^70+548x^72+400x^74+556x^76+400x^78+491x^80+290x^82+278x^84+76x^86+125x^88+4x^90+40x^92+14x^96+2x^100+3x^104 The gray image is a linear code over GF(2) with n=152, k=12 and d=64. This code was found by Heurico 1.16 in 3.92 seconds.