The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 1 X 0 1 1 X 1 1 1 1 X^2 X 1 1 1 1 X 1 X 1 X^2 1 1 1 1 1 1 1 1 X^2 1 1 X^2 X 1 1 X^2 1 1 X^2 0 1 1 1 X^2+X 1 0 1 1 1 1 1 X 1 1 X X^2+X 1 1 X^2+X 1 0 1 1 0 X^2+X+1 1 X+1 X^2+X 1 X^2 X^2+1 1 X X^2+X+1 1 1 X^2+X+1 X^2+X 1 X^2+1 X X^2+1 0 1 1 X^2+1 0 X+1 0 1 X^2+X+1 1 1 1 X+1 0 1 X X^2+X+1 X^2+X X^2+X X^2+1 1 0 X^2 1 1 X^2+X X^2+1 1 X^2+X+1 X^2 1 1 X^2+1 1 X^2 1 X 1 X^2+1 1 X^2+X+1 X X^2+1 1 X^2+X+1 X^2 1 1 0 X+1 1 X^2+X 0 0 X 0 X^2+X 0 X^2 X^2 X X^2+X 0 X^2+X X^2+X X^2 0 X^2+X X^2+X X^2+X X X^2 0 X^2+X X^2+X X^2 X^2+X X^2 X X^2+X X^2 X^2 X^2 X 0 X^2 X^2+X X^2+X 0 0 X^2+X 0 X^2+X X X^2 X^2+X X^2 X X X X X X X^2 0 0 X^2+X 0 X X^2+X X X X^2+X 0 X^2+X 0 X^2 X X X^2+X 0 X 0 0 X^2 0 0 0 0 X 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2+X X^2+X X X X^2+X X X^2+X X^2+X X^2+X X^2+X X X^2 X^2 X X 0 X^2+X X X X 0 X^2 X^2+X 0 X X X^2 0 0 X X^2 X X^2+X X^2 X^2 X^2+X X 0 X^2+X X^2+X 0 X X^2 X^2+X X^2 X^2+X 0 X^2 X^2+X 0 0 X^2 0 X X^2+X X^2 X 0 X X X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 generates a code of length 74 over Z2[X]/(X^3) who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+136x^67+151x^68+354x^69+278x^70+390x^71+215x^72+450x^73+296x^74+430x^75+214x^76+348x^77+230x^78+294x^79+103x^80+98x^81+14x^82+20x^83+12x^84+14x^85+12x^86+8x^87+4x^88+16x^89+2x^90+2x^91+1x^92+1x^96+2x^100 The gray image is a linear code over GF(2) with n=296, k=12 and d=134. This code was found by Heurico 1.16 in 77.9 seconds.