The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 0 1 1 X^2+X 1 1 X 1 1 1 1 0 1 1 0 X^2+X 1 1 1 1 0 1 X^2+X 1 0 1 1 1 X^2 X^2+X 1 1 1 X^2+X 1 X^2+X 1 1 0 1 1 1 1 X^2+X 1 1 0 1 1 0 1 1 X 1 X 1 1 1 1 X^2+X 1 1 1 1 X 1 1 1 1 1 1 1 X^2 X^2+X X X^2+X X^2+X 1 1 X^2+X 1 1 1 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 1 X^2+X X+1 1 X^2+1 0 1 X^2 X+1 X^2+X+1 X^2+X 1 X^2+1 0 1 1 X^2+X X^2+1 X^2+X X^2+1 1 X+1 1 0 1 0 X^2+1 X^2+X 1 1 X+1 X^2 X^2+X+1 1 1 1 X^2+X 0 1 X^2+1 0 X X 1 0 X+1 1 1 X 1 X+1 X^2+X 1 X^2+1 1 X+1 1 X X^2+1 1 X^2+X 0 1 X 1 X^2 X+1 0 X+1 X+1 X^2 X^2+X+1 1 1 1 1 1 X X^2+X 1 0 X^2+X+1 X^2+1 0 0 0 0 X^2 0 0 0 0 0 0 0 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 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 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 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 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 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 generates a code of length 97 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+54x^86+8x^87+209x^88+108x^89+389x^90+200x^91+567x^92+400x^93+704x^94+560x^95+683x^96+520x^97+669x^98+560x^99+688x^100+400x^101+548x^102+200x^103+343x^104+108x^105+165x^106+8x^107+41x^108+14x^110+6x^112+7x^114+12x^116+6x^118+6x^120+2x^122+2x^124+2x^126+2x^132 The gray image is a linear code over GF(2) with n=388, k=13 and d=172. This code was found by Heurico 1.16 in 7.78 seconds.