The generator matrix 1 0 0 1 1 1 X^2+X 1 1 0 X^2+X 1 X^2 1 1 1 1 1 1 X^2 X^2 1 1 1 1 1 X^2 1 X^2+X X^2 0 X 1 0 1 0 0 1 X+1 1 X^2+X X 1 1 X+1 X X+1 X^2+1 X^2+X+1 X X^2+X X^2+X+1 X^2 1 X+1 X^2+X X^2+1 0 X^2 1 X+1 1 1 1 1 X^2+X 0 0 1 1 1 0 1 X^2+1 X X^2+1 X^2+X 1 1 X X^2 X^2+X+1 X+1 X+1 1 1 0 0 X^2+X X^2+X X^2+X X^2+X+1 X^2+1 X^2+X+1 X^2+X+1 X+1 X^2+1 X^2 X 0 0 0 X 0 0 X^2 X^2 X X^2+X X X^2+X X^2+X X^2 X^2+X X^2 X^2+X 0 X 0 X X X^2+X X X^2+X X X^2+X X^2+X X^2 X^2 X^2+X X 0 0 0 0 0 X X^2 X X^2+X X^2+X 0 X^2+X 0 X X X^2 0 X 0 X^2+X X^2+X X^2 X 0 X^2 X^2+X 0 X^2+X 0 0 X^2 X X^2 X^2 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+118x^27+362x^28+534x^29+662x^30+836x^31+1031x^32+1084x^33+1038x^34+962x^35+694x^36+430x^37+236x^38+96x^39+52x^40+32x^41+14x^42+4x^43+4x^44+2x^46 The gray image is a linear code over GF(2) with n=132, k=13 and d=54. This code was found by Heurico 1.16 in 25.2 seconds.