The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X X 1 X X 0 1 1 X 1 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 0 X 0 X 0 0 X X X X 0 X 0 0 X 0 X 0 0 0 0 X X X 0 0 X 0 X 0 X X 0 0 0 X X 0 X 0 0 0 X X 0 X X 0 X 0 0 X 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 X X X 0 X X 0 0 0 0 X X 0 X 0 X X X X X X 0 0 0 X 0 X 0 0 0 X X 0 0 X 0 0 0 X 0 0 X 0 0 X X 0 X 0 X 0 X X 0 0 X 0 X X 0 X 0 X 0 X X X X X X X 0 0 0 X 0 0 0 0 0 X 0 X 0 X X 0 0 X 0 0 X X 0 0 X X 0 0 0 X X 0 X X 0 X 0 X 0 X 0 0 X X 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 X X X X X X X 0 0 X 0 0 0 0 X 0 X X 0 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 X X 0 X X 0 X X X 0 0 0 X X 0 0 X 0 X X X 0 0 0 X X X 0 0 X X 0 X 0 0 0 0 0 X X 0 X X X X X 0 0 0 0 0 X 0 X 0 X 0 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 X 0 0 X X X X 0 0 0 X 0 X X X X X X 0 X 0 X 0 X 0 0 0 X 0 X X 0 X 0 X X X X X X 0 X X 0 X 0 X 0 X X 0 X X X X X 0 0 0 X 0 0 X 0 0 X 0 0 X X X X 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 X 0 X X 0 0 0 X X 0 X 0 X X X X 0 0 X X 0 X X X X X X X 0 X 0 X X X X X 0 X X 0 X 0 0 X X X 0 X X X 0 X 0 0 0 0 0 0 X X 0 X X 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 0 X X 0 X 0 X X X 0 X 0 0 0 0 0 X 0 X X X X 0 0 X X 0 0 X 0 X 0 X 0 X X 0 X 0 0 X X 0 X X 0 0 0 0 X X 0 X X X 0 X X X 0 X X X 0 0 0 0 0 0 0 0 0 X X X 0 0 X 0 0 X X X 0 X 0 X X X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 X X 0 X X 0 X 0 X X X X X X X 0 0 0 0 0 X X 0 X X 0 X 0 0 0 0 X 0 X 0 0 X 0 0 X 0 generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+173x^72+80x^76+384x^80+176x^84+165x^88+42x^96+2x^104+1x^144 The gray image is a linear code over GF(2) with n=162, k=10 and d=72. This code was found by Heurico 1.16 in 7.49 seconds.