The generator matrix 1 0 0 0 1 1 1 0 1 1 1 X 0 X 1 1 1 X 1 1 0 0 1 0 1 X 1 0 1 0 0 X 0 1 1 1 X 1 0 1 X 0 0 1 1 X 1 X X 0 1 1 1 X X 1 1 1 0 X X X 1 1 1 1 X 1 1 X 1 1 1 1 0 1 0 0 0 1 1 1 X 0 X+1 1 1 X X+1 X+1 0 1 0 0 1 1 X+1 1 1 1 X+1 X 0 0 X 1 0 X X+1 X+1 X 1 X 0 1 1 1 0 X X 1 1 1 0 1 1 1 1 1 0 X+1 0 1 1 0 1 X+1 1 1 1 X 0 1 1 X 1 0 1 0 0 1 0 1 1 0 1 0 X+1 X 0 X+1 1 1 X X+1 X X 1 X+1 X X+1 1 0 X+1 1 0 X 1 1 X 1 X X 1 1 X X 0 0 X+1 0 0 0 1 1 X+1 X+1 1 X X X X X 1 X X+1 1 X+1 1 0 X 1 X+1 X+1 1 X 0 X X+1 X+1 1 X 0 0 0 1 1 0 1 1 1 0 X X+1 X X+1 X+1 0 0 X+1 X X+1 X+1 0 X X X+1 X+1 X 1 X+1 0 0 X 1 X X 1 X+1 X 1 0 0 0 1 X+1 X 0 X+1 X 0 X X 1 0 1 X X+1 0 X+1 X+1 0 1 1 X X X 0 X+1 X+1 X X+1 X+1 X+1 X+1 1 0 0 0 0 X 0 0 0 0 X 0 X X X 0 X 0 0 X X 0 0 0 X 0 0 X 0 X 0 X 0 0 X X X X 0 0 0 X X 0 X X X 0 0 0 X 0 X X X X X 0 0 X 0 0 0 X X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X 0 X 0 0 0 X X 0 X X 0 X X 0 X X X 0 0 X 0 0 X X X X 0 X 0 X 0 0 X 0 0 0 X 0 X X 0 X X X X X 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X 0 X X 0 X X 0 X 0 X X X X 0 X 0 0 0 0 0 0 0 X X 0 0 X 0 X X X X X X 0 0 0 X X 0 0 X 0 0 0 X X X 0 0 X X X 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 X 0 X X X X 0 X 0 X X 0 X X 0 X 0 0 0 X X X X 0 0 0 X 0 0 0 0 0 0 X X 0 0 X 0 0 0 0 X X X X 0 X 0 X X 0 0 0 X X X X 0 X X X 0 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+164x^64+338x^66+492x^68+414x^70+532x^72+456x^74+421x^76+378x^78+347x^80+240x^82+140x^84+80x^86+68x^88+14x^90+11x^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 2.92 seconds.