The generator matrix 1 0 0 1 1 1 X^2 1 1 X^2+X X 1 1 0 1 X 1 X 1 0 1 1 X^2 1 1 0 1 1 1 1 X^2+X 1 X 0 1 0 0 1 X+1 1 1 X X 1 X 1 1 X^2+X+1 1 0 X X^2+X 1 X^2 X^2+X+1 1 X^2+X+1 1 1 X^2+X+1 X^2+1 X X^2+X 1 X^2 1 0 0 1 1 1 0 X+1 X X^2+X+1 1 X^2+X X^2+X 1 X^2+X+1 0 1 X^2+X 1 X^2+X X+1 X^2+X+1 X^2+X X X X^2+X+1 1 X+1 X^2+X 1 1 X^2+X+1 X^2+X+1 X^2+X+1 0 0 0 X X^2+X X^2 X X^2 X X X X^2+X 0 X^2 X 0 X 0 X^2 X^2+X 0 0 X^2+X X^2+X X^2+X X X^2 0 X^2 X^2 X X^2+X 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+160x^28+264x^29+484x^30+400x^31+591x^32+480x^33+476x^34+400x^35+366x^36+216x^37+164x^38+32x^39+44x^40+12x^42+6x^44 The gray image is a linear code over GF(2) with n=132, k=12 and d=56. This code was found by Heurico 1.16 in 0.306 seconds.