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 X 1 1 X 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 0 a^6*X+1 a a^6*X+a^2 a^6*X+a^4 a^6*X+a^6 a^3 a^5 1 X a^5*X+a^6 X+a X+a^5 1 a^4*X+1 a^5*X+a^2 X a*X+a^3 a^5*X+a^4 X a^5*X+1 a*X+a a^2*X+a^2 a^4*X+a^3 0 0 a^6*X a*X X 0 a^3*X a^5*X a^4*X a^2*X a*X a^4*X a^3*X X a^6*X a^5*X a^2*X a*X a^6*X a*X a^5*X 0 a^6*X a^3*X a^4*X a*X X a^2*X a^5*X a^2*X X 0 a*X generates a code of length 33 over F8[X]/(X^2) who´s minimum homogenous weight is 219. Homogenous weight enumerator: w(x)=1x^0+1344x^219+2800x^220+252x^224+4480x^227+5600x^228+196x^232+8512x^235+9520x^236+35x^256+28x^264 The gray image is a linear code over GF(8) with n=264, k=5 and d=219. This code was found by Heurico 1.16 in 0.175 seconds.