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 aX 0 X (a+1)X aX (a+1)X aX X X aX 0 (a+1)X aX X aX 0 X 0 (a+1)X aX X (a+1)X aX 0 0 aX aX X X aX aX X 0 0 aX (a+1)X 0 0 X aX 0 0 (a+1)X aX (a+1)X aX 0 (a+1)X X aX X X X X X 0 X 0 aX aX X 0 X aX aX (a+1)X (a+1)X 0 X (a+1)X aX X X 0 0 0 (a+1)X aX (a+1)X aX X 0 0 0 X 0 0 X (a+1)X aX aX aX 0 0 aX aX 0 aX (a+1)X aX (a+1)X (a+1)X 0 X (a+1)X 0 (a+1)X 0 aX aX aX aX (a+1)X 0 (a+1)X (a+1)X 0 0 (a+1)X X aX (a+1)X X X 0 X 0 aX aX 0 (a+1)X (a+1)X (a+1)X aX (a+1)X (a+1)X X X X X (a+1)X X X X (a+1)X aX aX 0 aX X X 0 aX (a+1)X (a+1)X X (a+1)X (a+1)X X (a+1)X aX (a+1)X X aX X X X X 0 X X (a+1)X 0 0 0 0 X 0 (a+1)X 0 X aX (a+1)X X X X 0 X (a+1)X X X (a+1)X (a+1)X (a+1)X aX 0 (a+1)X (a+1)X 0 X aX 0 (a+1)X 0 aX X X aX 0 aX X aX 0 X aX (a+1)X aX (a+1)X X aX aX (a+1)X aX aX aX aX (a+1)X 0 aX 0 0 0 0 (a+1)X (a+1)X X 0 aX (a+1)X 0 0 (a+1)X (a+1)X 0 aX (a+1)X X aX X X 0 (a+1)X aX aX X X (a+1)X X X (a+1)X X 0 (a+1)X X 0 0 0 0 X X X (a+1)X X X X aX 0 0 0 aX X aX (a+1)X (a+1)X aX 0 aX X aX aX 0 0 (a+1)X (a+1)X (a+1)X aX X 0 0 X aX X (a+1)X X (a+1)X X X (a+1)X 0 aX 0 X 0 0 X aX X aX (a+1)X aX (a+1)X X 0 0 (a+1)X X (a+1)X X (a+1)X X (a+1)X 0 aX (a+1)X aX X X 0 0 (a+1)X X 0 (a+1)X 0 (a+1)X aX X aX 0 aX (a+1)X X aX (a+1)X (a+1)X generates a code of length 91 over F4[X,sigma]/(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 0.386 seconds.