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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 X^3 X^3 0 0 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 0 0 0 0 X^3 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 0 0 X^3 0 0 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 0 X^3 0 0 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 0 0 X^3 X^3 0 0 0 0 0 0 0 0 0 X^3 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 0 X^3 0 0 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 0 0 generates a code of length 73 over Z2[X]/(X^4) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+13x^68+15x^70+35x^72+896x^73+35x^74+15x^76+13x^78+1x^146 The gray image is a linear code over GF(2) with n=584, k=10 and d=272. This code was found by Heurico 1.16 in 0.281 seconds.