The generator matrix 1 0 0 1 1 1 0 X 1 1 1 X 1 1 X^2 X^2 1 0 1 1 X^2 1 0 1 1 1 1 X^2+X 1 X^2+X 1 1 1 0 1 0 0 1 1 1 X X^2+1 X^2+1 X 1 X^2 X+1 1 X^2+X X 1 0 X^2+X+1 X^2+X 0 1 X^2+X+1 X^2+X+1 X^2+X+1 X^2+X 1 1 1 X 0 1 0 0 1 1 0 X+1 1 1 X 1 X+1 X^2+X+1 X 0 X^2+X 1 1 X^2 X^2+X+1 X^2+1 1 X+1 X^2 X^2+1 X^2+X X^2+X 0 X+1 X^2 X^2+1 X^2 X^2+1 0 0 0 0 X X^2 X^2+X X X 0 X^2 0 0 X^2+X X^2+X X^2+X X^2 X^2+X X^2 X^2+X X^2 X X^2 X^2+X X 0 X^2+X X X X X^2 X^2 0 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+36x^28+188x^29+160x^30+312x^31+219x^32+338x^33+154x^34+270x^35+132x^36+120x^37+52x^38+38x^39+12x^40+10x^41+2x^42+2x^43+2x^47 The gray image is a linear code over GF(2) with n=132, k=11 and d=56. This code was found by Heurico 1.11 in 0.047 seconds.