The generator matrix 1 0 0 1 1 1 X 1 X^2+X 1 1 X 1 X^2+X 1 X^2+X 1 1 0 0 1 1 X^2 1 1 0 1 1 X^2+X 1 X^2 X^2 X 0 1 1 1 1 1 X 1 1 X X^2+X 1 0 1 X^2 1 1 0 X^2 1 1 1 1 1 1 1 X^2 X 0 1 X^2+X 1 1 X 1 1 1 1 X 0 1 X^2 0 1 0 0 1 X^2+X+1 1 X^2 0 X^2 X^2+X+1 1 X+1 1 0 1 X^2 X^2+X 1 1 X^2+X+1 X^2+X+1 X 1 X^2+X 1 X^2+X+1 1 0 X^2 1 X 1 1 X^2+X X X^2+X+1 X^2+X+1 X+1 0 X^2+X X^2+X+1 X 1 X 0 X^2+1 1 X+1 1 1 1 X^2+X+1 1 X^2+1 X+1 X^2+X X+1 X^2+X 0 1 0 X 1 X^2+X 0 1 X^2+1 X^2+X+1 X^2+X X^2+1 1 0 X^2+1 1 0 0 1 1 X+1 0 1 X+1 1 X X+1 X X X+1 X+1 X^2+1 X X^2+X+1 0 1 X^2+1 X^2 1 X^2 X^2+X X X^2+X+1 X^2+X 1 X^2 X+1 1 0 X^2 X+1 X^2+X+1 X X+1 X 1 X^2+1 X^2+1 1 0 1 1 0 1 X+1 X X+1 X 1 X^2 0 X+1 1 X^2 X^2+X+1 1 1 1 1 X^2+X X^2+1 X^2+X X^2 0 1 X^2 X^2+X+1 X^2+X 1 X^2+1 0 0 0 0 X X X^2+X X^2 X^2+X 0 0 X X^2 X 0 X^2 X^2+X X X^2 X^2+X X 0 X^2 X 0 X^2+X X^2+X X^2 X X^2+X X 0 X^2 X X^2+X 0 X^2+X X^2 X X^2+X X^2+X X^2 X^2+X 0 0 X X X^2 X^2+X X^2 X X^2 X 0 0 X X X^2+X 0 X^2+X X^2 0 X X X^2 X 0 0 X^2 X^2 X^2+X X X^2+X X^2+X X X^2+X 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+84x^67+237x^68+446x^69+447x^70+658x^71+602x^72+890x^73+566x^74+776x^75+593x^76+652x^77+515x^78+542x^79+277x^80+294x^81+227x^82+150x^83+70x^84+70x^85+32x^86+24x^87+11x^88+14x^89+3x^90+6x^91+2x^94+1x^96+2x^97 The gray image is a linear code over GF(2) with n=300, k=13 and d=134. This code was found by Heurico 1.16 in 3.77 seconds.