The generator matrix 1 0 0 1 1 1 X 1 1 1 X 1 1 X^2 X^2 1 X X^2 X 1 X^2 1 1 X^2+X 1 X^2+X 1 1 1 0 1 1 1 0 1 0 0 1 1 1 X^2 0 X+1 1 X X^2+X+1 1 X^2+X X+1 X^2+X 1 1 X^2+X 1 X+1 X^2 0 X^2+X+1 1 X^2+X+1 X^2+1 X^2+X+1 X 0 X^2+X+1 X+1 0 0 1 X+1 X^2+X+1 0 1 X X^2+1 X+1 X^2+X X^2+1 X^2+X 1 1 0 1 X X^2+X+1 X^2 X^2+1 X+1 X^2+X 1 X^2+1 X^2+X X 0 X^2+X 1 X+1 X^2 X+1 0 0 0 X^2 0 0 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 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+227x^28+164x^29+452x^30+420x^31+704x^32+424x^33+488x^34+328x^35+443x^36+180x^37+172x^38+20x^39+59x^40+8x^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 0.304 seconds.