The generator matrix 1 0 0 1 1 1 0 1 1 1 X^2+X 1 0 X^2 1 1 X X^2+X X 1 1 1 1 X X^2 X 1 1 X^2 1 0 1 1 X^2+X 1 1 0 1 1 1 X X^2 1 X 1 1 X 1 X^2 0 1 X^2 1 X^2+X X^2 1 1 1 X 1 1 X^2 1 1 X^2+X X 1 1 X^2 0 1 X^2+X X^2 X 1 0 1 0 0 1 1 1 X^2 X^2+X+1 X+1 1 X 1 X^2+X X^2+X X^2+X+1 1 1 X^2 X^2+X+1 X^2 1 X^2+X X^2+X 1 1 0 1 1 X 1 0 X^2+X+1 1 X^2+1 X+1 1 X+1 X^2+X X^2+X X^2 X X 1 1 X^2+1 1 0 X^2 1 X^2+X+1 1 X+1 X 1 X^2+X+1 1 X+1 0 X^2+X X+1 1 X^2+X X^2+1 X^2 1 X 0 1 1 1 X 1 1 0 0 0 1 X+1 X^2+X+1 0 X+1 X X^2+X X^2+X+1 X^2+X+1 X^2+1 X^2+X 1 X^2 1 1 X^2+X 1 X^2 X^2+1 1 X^2+X+1 1 1 X^2 X^2+X X X^2+X+1 X X X+1 0 X^2+X 0 1 1 X^2+X X X^2 1 1 X^2 X^2+X+1 X^2+X X^2+1 X^2+1 X^2 1 X^2+X+1 X^2+X+1 0 0 1 X X 0 X+1 1 0 X^2 X^2+1 X 1 1 0 X^2 X^2+X+1 X^2+1 0 X+1 1 X^2 X^2+X 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+59x^68+182x^69+257x^70+434x^71+358x^72+464x^73+306x^74+386x^75+286x^76+302x^77+214x^78+252x^79+130x^80+156x^81+97x^82+66x^83+50x^84+40x^85+16x^86+14x^87+7x^88+8x^89+5x^90+5x^92+1x^94 The gray image is a linear code over GF(2) with n=300, k=12 and d=136. This code was found by Heurico 1.16 in 1 seconds.