The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 X 1 1 1 1 X 1 1 1 1 0 X 0 0 0 0 X X X a*X 0 X a^2*X a*X a^2*X a*X X X a*X 0 a^2*X a*X X a*X 0 X 0 a^2*X a*X X a^2*X a*X 0 0 a*X a*X X X a*X a*X X 0 0 a*X a^2*X 0 0 X a*X 0 0 a^2*X a*X a^2*X a*X 0 a^2*X X a*X X X X X X 0 X 0 a*X a*X X 0 X a*X a*X a^2*X a^2*X 0 X a^2*X a*X X X 0 0 0 a^2*X a*X a^2*X a*X X 0 0 0 X 0 0 X a^2*X a*X a*X a*X 0 0 a*X a*X 0 a*X a^2*X a*X a^2*X a^2*X 0 X a^2*X 0 a^2*X 0 a*X a*X a*X a*X a^2*X 0 a^2*X a^2*X 0 0 a^2*X X a*X a^2*X X X 0 X 0 a*X a*X 0 a^2*X a^2*X a^2*X a*X a^2*X a^2*X X X X X a^2*X X X X a^2*X a*X a*X 0 a*X X X 0 a*X a^2*X a^2*X X a^2*X a^2*X X a^2*X a*X a^2*X X a*X X X X X 0 X X a^2*X 0 0 0 0 X 0 a^2*X 0 X a*X a^2*X X X X 0 X a^2*X X X a^2*X a^2*X a^2*X a*X 0 a^2*X a^2*X 0 X a*X 0 a^2*X 0 a*X X X a*X 0 a*X X a*X 0 X a*X a^2*X a*X a^2*X X a*X a*X a^2*X a*X a*X a*X a*X a^2*X 0 a*X 0 0 0 0 a^2*X a^2*X X 0 a*X a^2*X 0 0 a^2*X a^2*X 0 a*X a^2*X X a*X X X 0 a^2*X a*X a*X X X a^2*X X X a^2*X X 0 a^2*X X 0 0 0 0 X X X a^2*X X X X a*X 0 0 0 a*X X a*X a^2*X a^2*X a*X 0 a*X X a*X a*X 0 0 a^2*X a^2*X a^2*X a*X X 0 0 X a*X X a^2*X X a^2*X X X a^2*X 0 a*X 0 X 0 0 X a*X X a*X a^2*X a*X a^2*X X 0 0 a^2*X X a^2*X X a^2*X X a^2*X 0 a*X a^2*X a*X X X 0 0 a^2*X X 0 a^2*X 0 a^2*X a*X X a*X 0 a*X a^2*X X a*X a^2*X a^2*X generates a code of length 91 over F4[X]/(X^2) who´s minimum homogenous weight is 256. Homogenous weight enumerator: w(x)=1x^0+51x^256+177x^260+48x^262+138x^264+288x^266+159x^268+768x^270+123x^272+1248x^274+108x^276+720x^278+45x^280+51x^284+45x^288+36x^292+15x^296+21x^300+18x^304+12x^308+3x^312+9x^316+6x^320+3x^324+3x^344 The gray image is a linear code over GF(4) with n=364, k=6 and d=256. This code was found by Heurico 1.16 in 0.387 seconds.