The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X X 1 1 0 1 1 1 1 0 1 X^2+X 1 X^2 1 1 1 X^2+X 1 1 X^2+X 1 1 1 0 0 1 1 X^2+X 1 1 0 X 1 1 1 0 1 0 X^2 1 1 1 1 1 1 1 X 1 1 1 1 1 X^2 1 1 0 1 1 1 0 X^2+X 1 1 1 1 1 X^2 1 X^2+X 1 1 X 1 0 X^2 0 X^2+X 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 1 X^2+1 X^2+X 1 X+1 0 X^2+X+1 X^2 1 X^2+1 1 X^2+X 1 X+1 0 X^2+X 1 X^2+1 X^2+X 1 X^2+1 X X+1 1 1 0 X^2+1 1 0 X^2+X 1 1 X+1 0 X^2+X 1 1 1 1 X^2+1 X+1 X^2+X+1 0 X^2 X^2+X X^2+1 1 0 X X X X+1 1 X^2 1 1 X^2+1 X+1 X^2 1 1 X 0 X^2+X X X^2+X+1 1 X^2 1 0 0 X^2 1 1 1 1 1 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 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 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 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 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 generates a code of length 96 over Z2[X]/(X^3) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+30x^85+69x^86+118x^87+223x^88+228x^89+401x^90+418x^91+525x^92+606x^93+593x^94+644x^95+573x^96+648x^97+553x^98+604x^99+542x^100+442x^101+353x^102+230x^103+144x^104+84x^105+49x^106+34x^107+18x^108+10x^109+8x^110+8x^112+11x^114+10x^116+8x^118+2x^120+2x^122+1x^124+1x^126+1x^136 The gray image is a linear code over GF(2) with n=384, k=13 and d=170. This code was found by Heurico 1.16 in 14.8 seconds.