The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 0 X X 1 1 0 1 X X 1 X^2 0 X 0 0 0 0 0 0 0 X X^2+X X X^2 X^2 X 0 X X^2+X X^2+X X^2 X^2 X X X^2+X X 0 0 X^2 X^2 0 X^2+X X 0 0 0 X 0 0 0 X X^2+X X X X 0 0 X X^2 X X^2 X^2 X^2+X X^2+X X^2+X X^2 X^2+X 0 0 0 X X^2 X^2+X 0 X X 0 0 0 0 X 0 X X X X^2 0 0 X^2 X^2 X^2 X^2+X X^2+X 0 X^2+X X 0 0 X^2+X X^2 X X X X^2 0 0 X^2+X X^2+X X^2 0 0 0 0 0 X X X^2 X^2+X X^2+X 0 X X 0 X^2+X X X^2 X X^2+X X^2+X X X^2+X 0 X^2+X X 0 X^2 0 X X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+138x^26+8x^27+261x^28+96x^29+437x^30+248x^31+743x^32+320x^33+669x^34+248x^35+453x^36+96x^37+191x^38+8x^39+131x^40+37x^42+10x^44+1x^48 The gray image is a linear code over GF(2) with n=132, k=12 and d=52. This code was found by Heurico 1.16 in 0.483 seconds.