The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X^2 1 1 X 1 0 1 1 0 0 1 X X 1 X 1 0 X 0 0 0 X X^2+X X 0 X^2 X X^2+X 0 X^2 X X X^2 0 X^2+X X^2+X X^2 X^2 X 0 X^2+X X^2 X X X^2+X 0 X X^2+X X 0 0 X 0 X X X X^2 0 X^2 X^2+X X^2+X X X X^2 X^2 X^2+X X X^2+X X 0 X^2 0 X^2+X 0 0 X 0 X^2+X X^2 X^2 X 0 0 0 0 X X X^2 X^2+X X^2+X 0 X^2+X X^2 X^2+X X 0 X 0 X X^2+X 0 X^2 X X^2 0 0 X X X^2 X^2 X X^2+X 0 X^2 X 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 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+57x^28+16x^29+176x^30+80x^31+201x^32+64x^33+138x^34+80x^35+103x^36+16x^37+44x^38+33x^40+10x^42+4x^44+1x^48 The gray image is a linear code over GF(2) with n=132, k=10 and d=56. This code was found by Heurico 1.16 in 0.0455 seconds.