The generator matrix 1 0 0 0 1 1 1 1 X^2+X X^2+X 1 0 1 1 X^2 1 X 1 1 1 X^2+X X X^2+X 1 1 0 1 1 1 1 X^2+X 1 1 0 1 0 0 0 1 X^2 X^2+1 1 1 X+1 X X^2+X X+1 1 X^2+X 1 X X+1 X^2+X 1 X 1 X^2+1 X^2+X X^2 X^2+1 0 0 X+1 X^2+X X X^2+X 0 0 1 0 0 1 X^2+1 X X^2+1 X+1 X 1 X^2+1 X^2+X+1 X X+1 X^2+X+1 X^2+X+1 X^2 X 0 0 X^2+X+1 X X 1 X^2+X+1 1 X^2 X X 0 0 0 0 0 1 X+1 X^2 1 X^2+1 X^2+1 0 X^2+X X+1 X X^2+1 X+1 X^2 X^2+X X^2+X+1 X^2+X X^2+X+1 1 1 X^2+X+1 X^2+1 0 X^2+X X^2 0 X^2 X+1 1 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 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+82x^27+392x^28+404x^29+938x^30+724x^31+1205x^32+726x^33+1344x^34+644x^35+860x^36+378x^37+298x^38+84x^39+70x^40+26x^41+12x^42+2x^43+2x^45 The gray image is a linear code over GF(2) with n=132, k=13 and d=54. This code was found by Heurico 1.16 in 1.14 seconds.