The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6 a a^6*X+a^2 0 a^6*X+1 a^5 a^6*X+a^4 a^6*X+a^6 a^3 1 a^6*X+1 a^5 a a^3 a^6*X+a^2 X+a a^6*X+a^6 1 a^5*X+a^2 a^6*X+a^4 a^5*X+a^6 X+a^3 a^6*X+1 X+a^5 X+a 0 0 a^6*X 0 X X a^3*X X a^2*X a^3*X a^6*X a^2*X a^2*X 0 0 a^2*X a^6*X X X a*X a^6*X a^3*X a^3*X a^4*X a^5*X a^5*X a^4*X a*X a^3*X X X a^5*X a^2*X 0 0 0 X a^6*X a^5*X a^3*X a^2*X a^5*X a^6*X a^6*X a^4*X a*X a^2*X a^5*X 0 a^4*X a^5*X a*X a^3*X a^3*X 0 X a^4*X a^2*X 0 a^2*X 0 a^5*X a^6*X X a^4*X X generates a code of length 33 over F8[X]/(X^2) who´s minimum homogenous weight is 208. Homogenous weight enumerator: w(x)=1x^0+399x^208+112x^210+1120x^211+504x^212+791x^216+448x^217+2352x^218+10080x^219+2968x^220+609x^224+6272x^225+16464x^226+48160x^227+10472x^228+756x^232+21952x^233+38416x^234+84000x^235+14728x^236+637x^240+483x^248+378x^256+42x^264 The gray image is a linear code over GF(8) with n=264, k=6 and d=208. This code was found by Heurico 1.16 in 6.67 seconds.