The generator matrix 1 0 0 0 0 0 1 1 1 1 0 0 X 1 1 1 1 1 1 1 1 X 1 1 1 0 X 0 X X 0 1 1 0 1 X 0 0 1 1 1 1 1 1 0 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 1 X X 1 1 1 0 1 1 0 X 0 X 1 0 1 0 0 0 0 X X 1 1 1 1 X X+1 X+1 1 X+1 X X+1 0 X 1 0 0 X+1 X 1 1 X 1 X X+1 X+1 X 0 1 X 1 1 0 0 0 0 X X X 0 X+1 X X 1 1 1 X+1 0 1 1 0 1 1 1 1 0 X X 0 1 X+1 X 1 X 0 X X 0 0 1 0 0 0 0 0 0 0 0 X X X 0 0 0 X 0 X X X X X 0 X 0 0 0 0 1 1 1 1 1 X+1 1 X+1 1 X+1 1 X+1 X+1 X+1 1 1 X+1 1 1 X+1 X+1 X X+1 X+1 1 1 X X X+1 X X 1 0 1 1 X+1 1 0 X 0 0 X 0 X 0 0 0 1 0 0 0 0 0 X X X X 0 0 X+1 X+1 X+1 1 X+1 X+1 1 1 0 X+1 1 X+1 X+1 1 1 X+1 X+1 X X X+1 0 1 X 1 0 0 X 0 1 X 0 X+1 X 0 X+1 X+1 X+1 X X X 0 1 X 0 1 1 X+1 0 0 1 0 X+1 X X X X 1 1 X+1 0 0 0 0 1 0 0 X+1 X X+1 X 1 1 X+1 X X 0 X+1 1 0 1 0 0 1 1 1 X+1 1 X X 1 X 0 X+1 X+1 0 0 1 X 1 1 0 X 0 1 X X 1 X+1 X 1 0 1 0 0 0 0 1 X X X+1 0 1 X 1 X+1 0 X+1 0 0 X 1 1 X+1 0 0 0 0 0 1 1 X+1 1 0 1 1 X+1 1 X X+1 X 0 0 1 X+1 1 0 X X+1 1 X 1 1 X 0 0 1 X 0 X+1 X 0 X+1 0 X+1 0 X+1 0 X+1 X+1 X X 0 1 X+1 1 1 X 1 1 X X X X 0 0 1 1 X 1 X X X X 1 X+1 X+1 X+1 generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+145x^64+374x^66+464x^68+450x^70+511x^72+464x^74+424x^76+354x^78+320x^80+232x^82+196x^84+92x^86+47x^88+18x^90+4x^92 The gray image is a linear code over GF(2) with n=148, k=12 and d=64. This code was found by Heurico 1.16 in 2.67 seconds.