The generator matrix 1 0 0 1 1 1 X 1 X^2+X 1 1 X^2+X 1 X^2 X^2 1 X^2 X^2+X X^2 X 1 0 1 1 X^2+X X^2 1 X^2+X 1 1 1 X 1 0 1 0 X 1 X^2+X+1 1 X^2+X X^2 X X+1 1 X+1 1 1 X^2+X+1 X 1 1 1 X^2+X+1 1 X+1 0 1 X^2+X 1 1 1 X 0 0 0 0 0 1 1 X^2+X+1 X^2+X 1 X+1 1 X 0 0 X+1 1 X^2+1 1 1 X+1 X^2+X+1 X 1 X^2 0 X+1 0 1 X^2+X 1 X^2+1 1 X^2+X+1 0 0 0 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 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 26. Homogenous weight enumerator: w(x)=1x^0+32x^26+192x^27+225x^28+510x^29+646x^30+990x^31+914x^32+1248x^33+884x^34+986x^35+612x^36+504x^37+216x^38+130x^39+36x^40+40x^41+12x^42+6x^43+3x^44+2x^45+2x^46+1x^48 The gray image is a linear code over GF(2) with n=132, k=13 and d=52. This code was found by Heurico 1.16 in 1.18 seconds.