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 X 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 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 0 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 0 X^3 0 0 0 0 X^3 0 0 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 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 0 0 X^3 0 0 X^3 X^3 0 X^3 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 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 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 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 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 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 0 0 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 0 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 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 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 0 0 0 0 0 X^3 0 0 0 0 X^3 0 X^3 0 0 0 X^3 0 0 generates a code of length 76 over Z2[X]/(X^4) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+38x^72+32x^74+884x^76+32x^78+33x^80+3x^84+1x^148 The gray image is a linear code over GF(2) with n=608, k=10 and d=288. This code was found by Heurico 1.16 in 0.468 seconds.