The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X X X X X 0 1 1 1 X 0 X 1 X^2 X 0 X 0 X 0 0 X X^2+X 0 X^2 X^2+X X 0 X X X^2 0 0 X^2 X^2+X X X X X^2 X^2 0 X^2+X X 0 X X^2+X 0 0 0 0 X X 0 X^2+X X 0 X^2 X 0 X 0 X^2+X X^2 X X^2+X X X 0 X X 0 X X^2+X 0 X^2 X X X^2 X X X^2+X 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 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+119x^26+56x^27+244x^28+184x^29+317x^30+440x^31+379x^32+664x^33+328x^34+488x^35+304x^36+168x^37+226x^38+40x^39+84x^40+8x^41+31x^42+12x^44+1x^46+2x^50 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 22.1 seconds.