The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 1 0 1 X 1 1 1 1 0 X 1 1 0 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 X+1 1 0 0 X+1 1 X+1 1 X+1 X+1 0 X+1 1 0 X+1 0 X X+1 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 0 0 0 0 X X X X X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X X 0 X 0 X 0 0 0 X X 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X X 0 0 X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 0 0 X X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X 0 X X 0 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 X X X 0 X X 0 X 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X 0 0 X 0 0 X X X 0 X 0 X X 0 X generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+138x^24+114x^26+517x^28+472x^30+841x^32+652x^34+736x^36+280x^38+282x^40+18x^42+42x^44+2x^48+1x^60 The gray image is a linear code over GF(2) with n=66, k=12 and d=24. This code was found by Heurico 1.16 in 1.05 seconds.