The generator matrix 1 0 0 1 1 1 X^2+X 1 0 X^2 1 1 0 1 X^2+X X 1 1 1 1 0 1 1 1 1 1 1 X^2 1 X^2+X X 1 X 0 1 0 0 1 X+1 1 X 1 X X+1 X^2+X 1 1 1 X X+1 X^2+X+1 X^2+X X^2 X 1 X^2+X X^2+1 X^2+X X^2+X X+1 1 X^2+X+1 1 1 0 X^2 0 0 1 1 1 0 1 X X^2+1 1 1 X^2+1 X^2+X X 0 1 X 1 X^2+X X+1 1 X^2+1 X^2 X^2+1 X^2+1 X^2 1 X+1 X X^2 X+1 X X^2 0 0 0 X X^2+X 0 X 0 X^2+X X^2 X^2+X X X^2 0 X^2 0 X^2+X 0 X^2+X X^2 X 0 0 X^2+X X^2 X^2+X X 0 X^2+X X^2+X X^2+X X^2 X^2+X 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 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+124x^27+488x^28+504x^29+480x^30+804x^31+1167x^32+1144x^33+896x^34+964x^35+748x^36+456x^37+160x^38+92x^39+144x^40+8x^41+12x^44 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 28.6 seconds.