The generator matrix 1 0 1 1 1 X^2 1 0 1 0 1 1 1 0 1 X^2+X 1 1 1 1 X^2+X 1 X^2+X 1 0 1 1 X^2+X 1 X X X X 0 1 1 0 1 1 X^2 1 X+1 1 0 X+1 X 1 X 1 X^2+1 0 X+1 1 1 X^2+X+1 1 0 1 X+1 X^2+1 1 X^2+X X 1 X^2+X X^2+X 0 0 X 0 0 0 0 0 X^2 0 X^2 X^2+X X X X^2+X X^2+X X X^2+X X^2 X^2+X X X X^2+X X^2 X^2+X X^2 X^2 X 0 0 X^2 X X^2 0 0 0 X 0 0 X^2 X^2+X X^2 X^2+X X^2+X 0 X^2 X X 0 X^2+X 0 X X X^2 X X^2+X X^2 X^2 X 0 X X^2+X X^2+X 0 0 0 0 0 0 0 X X^2+X X^2+X X X^2 X^2 X^2+X X^2+X 0 X^2 0 X 0 X X^2 X^2+X 0 0 X^2+X 0 X^2 X 0 X^2+X X X^2 X^2+X X^2 X 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+76x^27+161x^28+252x^29+384x^30+454x^31+492x^32+512x^33+527x^34+446x^35+298x^36+222x^37+134x^38+58x^39+37x^40+20x^41+11x^42+6x^43+3x^44+2x^45 The gray image is a linear code over GF(2) with n=132, k=12 and d=54. This code was found by Heurico 1.16 in 0.366 seconds.