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 X 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 1 1 1 1 0 X^3 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 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 0 X^3 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 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 0 0 0 X^3 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 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 0 0 0 X^3 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 0 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 X^3 0 X^3 X^3 0 0 0 0 0 0 0 X^3 0 X^3 0 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 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 X^3 X^3 0 X^3 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 0 0 0 0 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 0 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 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 0 0 0 0 0 X^3 X^3 0 0 0 0 0 0 generates a code of length 74 over Z2[X]/(X^4) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+13x^68+82x^72+832x^74+82x^76+12x^80+1x^84+1x^144 The gray image is a linear code over GF(2) with n=592, k=10 and d=272. This code was found by Heurico 1.16 in 0.281 seconds.