The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 X^2+X 1 1 1 0 1 1 X^2+X 1 1 1 1 1 0 0 1 1 X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 1 X^2+1 X^2+X 0 1 X+1 X^2+X 1 X^2+1 X+1 0 X^2+X X^2+1 1 1 X+1 X+1 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+130x^24+124x^26+96x^27+674x^28+704x^29+1128x^30+1952x^31+2110x^32+2688x^33+1856x^34+1952x^35+1346x^36+704x^37+472x^38+96x^39+300x^40+4x^42+43x^44+3x^48+1x^60 The gray image is a linear code over GF(2) with n=132, k=14 and d=48. This code was found by Heurico 1.16 in 74.9 seconds.