The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 1 0 1 1 X^2+X 1 X^2 1 X 1 1 1 X^2+X 1 X^2 1 X 1 1 0 1 X^2+X 0 1 X^2 X 0 X 0 X^2+X X^2 0 0 X^2 X X^2+X X X 0 X^2+X X 0 1 1 X^2 X^2 1 1 X^2 0 X X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+1 1 X^2+X 0 X+1 1 X^2+X X^2+1 1 X^2 X+1 1 X^2+X X^2+1 1 X 0 X+1 1 X^2+X X^2+1 1 X^2+X+1 1 X^2+1 1 0 X^2+X X+1 1 X^2 1 1 1 X X+1 1 0 1 1 X+1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 1 X^2 X^2+X 1 1 X X 1 1 X X^2+X 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 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 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 generates a code of length 78 over Z2[X]/(X^3) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+250x^72+282x^74+364x^76+314x^78+324x^80+286x^82+181x^84+14x^86+20x^88+5x^92+3x^96+2x^104+1x^108+1x^116 The gray image is a linear code over GF(2) with n=312, k=11 and d=144. This code was found by Heurico 1.16 in 2.77 seconds.