The generator matrix 1 0 0 1 1 1 X^2+X X 1 1 1 X^2 X^2 1 0 1 1 1 X 0 1 1 1 X^2+X 0 1 X 1 X 1 1 X^2+X 1 1 1 X 0 1 1 X^2+X 1 1 1 1 1 X^2 1 1 X 1 1 1 0 1 X^2 1 1 X^2+X X 1 1 X^2+X 1 0 X^2 1 0 X 1 X X^2+X X^2+X X 1 1 X 0 X^2 X 1 1 0 X^2 X^2+X 1 1 1 1 0 1 0 1 0 1 0 1 0 0 1 X+1 1 X^2 X^2+X+1 X+1 X^2+X 1 1 X^2 0 0 X^2+1 0 1 1 X^2+X+1 X X^2+X+1 1 X^2+X 1 1 0 1 X X^2+X 1 X^2+1 X^2+1 X+1 X^2+X X^2 0 0 1 0 X 1 X^2 X^2+1 1 X^2 X^2+X+1 1 X^2+X X+1 X 1 X^2+X+1 1 X^2+X X+1 1 X^2 1 X X^2 X^2+X+1 1 X X^2+1 X^2+X X X^2 1 1 1 1 X^2+X 0 0 1 1 1 X^2+X 0 1 0 1 X+1 X X^2 X^2 1 X^2+X+1 X^2+X X 1 0 0 0 1 1 1 X^2 1 1 X+1 X^2+X X^2+1 X^2+1 X^2+X X 1 X^2 1 X^2+X+1 1 X^2 X 1 X+1 X^2 1 X^2 X^2+X+1 X^2+X X+1 X^2 X+1 0 0 X X^2+1 1 1 X+1 X X^2 1 1 X+1 X^2 X^2+1 X^2+1 X X^2 X X+1 X^2 X^2+X X^2+1 1 X^2+X X^2 X^2+X X^2+X 1 X^2+1 X 1 X^2+X+1 X+1 1 X^2+X 1 1 1 X^2 X X X^2 X^2+X+1 1 1 X X^2 1 X^2+X+1 X^2+1 X 1 0 1 X X^2+1 X+1 1 1 1 0 X^2+X 0 0 0 0 X X^2+X 0 X X X^2+X 0 X^2+X X^2+X 0 0 X^2+X X^2+X X^2 0 X^2 X^2+X X 0 X^2 X^2+X X^2 X 0 X^2+X X^2+X 0 X^2+X X^2 0 X X^2 0 0 X X^2 0 X X^2 X^2 X^2+X X 0 X^2+X X^2 X^2 0 X X^2 X X^2+X 0 X^2 X X^2+X X^2+X X^2+X X X^2 0 X^2 X^2+X 0 X^2+X X X^2 X X^2+X X^2 X X^2 X^2 X^2+X X X 0 X X X^2 0 X X X^2+X X^2+X X^2 X^2+X 0 0 X^2+X X 0 0 0 0 0 X^2 0 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 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 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 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+116x^87+164x^88+460x^89+159x^90+620x^91+220x^92+532x^93+112x^94+464x^95+129x^96+284x^97+54x^98+272x^99+71x^100+140x^101+40x^102+108x^103+34x^104+56x^105+19x^106+20x^107+8x^108+8x^112+5x^116 The gray image is a linear code over GF(2) with n=376, k=12 and d=174. This code was found by Heurico 1.16 in 1.68 seconds.