The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 X^2 1 1 X 1 1 X^2 1 1 X 1 1 1 1 1 1 1 1 X^2 X X^2 X X X X 0 X X X 0 0 1 1 1 1 X X^2 X 1 X^2 X^2 0 1 1 1 0 X^2 0 1 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 X^2 X^2+X+1 1 X 1 1 X^2 X^2+X+1 1 X 1 1 X^2 X X^2 X X^2+X+1 1 X^2+X+1 1 1 1 1 1 0 X^2+X 0 X 0 X^2+X X^2+X X X 0 X^2 0 X+1 X^2 X X X^2 X X X^2 X^2+X+1 X+1 X^2+X+1 X X 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+198x^72+36x^76+17x^80+4x^84 The gray image is a linear code over GF(2) with n=292, k=8 and d=144. This code was found by Heurico 1.16 in 1.51 seconds.