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 X 1 1 X 1 1 1 1 1 1 1 1 1 1 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 0 aX X (a+1)X aX aX X X aX X (a+1)X X 0 (a+1)X 0 0 (a+1)X aX aX aX X 0 0 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 0 0 0 (a+1)X (a+1)X (a+1)X (a+1)X aX (a+1)X (a+1)X aX (a+1)X (a+1)X 0 X 0 aX aX aX (a+1)X (a+1)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 X X (a+1)X (a+1)X X (a+1)X 0 0 aX (a+1)X 0 (a+1)X aX aX 0 (a+1)X aX X X aX aX (a+1)X aX 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 0 (a+1)X (a+1)X (a+1)X X X (a+1)X 0 X 0 (a+1)X (a+1)X X X (a+1)X X (a+1)X X (a+1)X X (a+1)X aX 0 generates a code of length 92 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 260. Homogenous weight enumerator: w(x)=1x^0+72x^260+180x^264+48x^267+174x^268+432x^271+162x^272+1296x^275+117x^276+1296x^279+57x^280+48x^284+42x^288+51x^292+27x^296+33x^300+12x^304+12x^308+6x^312+12x^316+9x^320+3x^324+3x^332+3x^356 The gray image is a linear code over GF(4) with n=368, k=6 and d=260. This code was found by Heurico 1.16 in 0.395 seconds.