The generator matrix 1 0 0 1 1 1 0 1 1 0 1 X 1 X 1 1 X X 1 1 0 1 1 1 1 0 1 1 X 1 0 0 1 X 0 1 1 1 1 X X 1 0 1 1 1 1 X 1 0 X 0 1 0 X X 0 1 X 1 X 1 X 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 X 0 X+1 1 X+1 1 X X 1 X 1 1 1 X X+1 X X+1 1 0 1 1 1 0 0 0 1 1 X+1 0 0 X+1 X 1 X+1 1 0 X 1 X+1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 X+1 0 X 1 X+1 1 X+1 X+1 X+1 0 1 0 0 1 1 1 0 1 0 1 1 X+1 1 X X X+1 0 X+1 1 1 X X 0 X+1 1 0 0 1 X+1 1 X+1 1 1 X+1 X 1 0 X X X 1 X+1 X+1 1 X+1 0 X+1 0 1 1 X 0 1 X 1 0 0 X+1 X 0 0 1 X 1 X+1 1 X+1 X+1 X+1 1 0 X 1 0 0 0 X 0 0 0 0 0 X X 0 0 X X X 0 X 0 0 0 X X X 0 X X 0 0 X 0 X X 0 X X X X 0 X 0 X 0 X X 0 X X 0 0 X X 0 X 0 0 X X X 0 0 0 X X 0 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X 0 X X X X X X X X X X X X 0 0 0 0 X X X X 0 0 X X 0 X 0 X X X X X X X 0 0 0 X X 0 0 0 X 0 0 0 0 0 X 0 0 X X X 0 X X 0 X 0 X 0 X 0 X X 0 0 0 X X X 0 0 X 0 0 0 0 0 0 X 0 X X X X 0 0 X X X 0 0 0 X 0 0 X X 0 0 0 0 X X X X 0 X X 0 0 X X 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 0 X X X X 0 0 0 X X 0 X X X X X 0 0 0 X 0 X X 0 0 X 0 0 X X X 0 0 0 X X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X X X 0 X 0 X X X X 0 X X 0 0 X 0 X 0 X X X 0 X 0 0 0 X X 0 X 0 X X 0 0 0 0 0 X X 0 X X 0 X 0 X 0 0 0 X 0 0 X 0 generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+317x^64+523x^68+506x^72+355x^76+252x^80+75x^84+10x^88+5x^92+2x^96+2x^100 The gray image is a linear code over GF(2) with n=144, k=11 and d=64. This code was found by Heurico 1.16 in 33.3 seconds.