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 X X 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 X^3 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 X^3 X^3 0 X^3 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 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 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 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 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 X^3 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 0 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 0 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 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 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 0 0 0 X^3 X^3 0 0 0 0 X^3 X^3 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 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 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 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 X^3 0 0 X^3 0 0 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 X^3 X^3 0 0 generates a code of length 77 over Z2[X]/(X^4) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+26x^72+12x^74+32x^75+24x^76+832x^77+28x^78+32x^79+13x^80+20x^82+3x^86+1x^150 The gray image is a linear code over GF(2) with n=616, k=10 and d=288. This code was found by Heurico 1.16 in 0.344 seconds.