The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 a^6*X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 a a^2 a^6*X+a^3 a^6*X+a^4 X X+1 X+a a^6*X+a^2 1 a^6*X a^6*X+1 a^6*X+a^5 a*X+a a^3 a^5*X+a^2 a^5*X+1 a^6*X+a a^5*X+a^4 X+a^6 a^4*X+a^2 a^3*X+a^4 a^4*X+a^3 a^6 X+a^4 a^4*X a^2*X+1 a^5*X+a^2 a^5*X+a^3 0 0 0 1 a^6 a a^4 1 a^5 a^6*X+a^5 a^6*X+1 a^5*X X+a X+a^2 X+a^6 a*X X+a^4 a*X+a^3 a^3*X+a^3 a*X+a^5 a^3 a^3*X+a^4 a^4*X+a a^3*X+1 a*X+a^6 a*X+a^4 a^2*X+a^5 a^2*X a*X+1 a^6*X+a^6 a^6 X+a^3 X+a^4 a*X generates a code of length 33 over F8[X]/(X^2) who´s minimum homogenous weight is 213. Homogenous weight enumerator: w(x)=1x^0+1288x^213+112x^216+504x^217+2016x^218+1904x^219+12488x^220+9968x^221+2849x^224+7952x^225+12096x^226+6944x^227+26544x^228+19208x^229+18858x^232+27384x^233+28896x^234+12656x^235+43400x^236+26880x^237+84x^240+70x^248+42x^256 The gray image is a linear code over GF(8) with n=264, k=6 and d=213. This code was found by Heurico 1.16 in 6.3 seconds.