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 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 0 X 0 0 0 0 X X X aX 0 X (a+1)X X (a+1)X (a+1)X (a+1)X aX X (a+1)X 0 (a+1)X aX X 0 aX X 0 0 (a+1)X (a+1)X (a+1)X (a+1)X 0 aX aX aX 0 (a+1)X aX aX 0 aX (a+1)X X aX 0 X 0 X X X aX X 0 X X (a+1)X (a+1)X X aX 0 aX (a+1)X (a+1)X aX aX (a+1)X (a+1)X X (a+1)X aX 0 0 X (a+1)X 0 X (a+1)X (a+1)X X 0 (a+1)X aX X aX (a+1)X 0 (a+1)X aX aX aX 0 aX X 0 X (a+1)X 0 0 X 0 0 X (a+1)X aX aX aX 0 0 aX X 0 0 (a+1)X 0 aX aX aX aX (a+1)X (a+1)X X X 0 (a+1)X X (a+1)X 0 (a+1)X aX aX X 0 0 (a+1)X 0 0 aX aX X aX X X X X aX (a+1)X aX (a+1)X (a+1)X aX aX X X 0 aX 0 X (a+1)X (a+1)X X X aX (a+1)X X X 0 aX aX (a+1)X X X aX X X (a+1)X 0 0 aX X X 0 (a+1)X (a+1)X (a+1)X (a+1)X (a+1)X aX X 0 aX aX (a+1)X (a+1)X aX 0 0 0 X 0 (a+1)X 0 X aX (a+1)X X X X X 0 aX 0 aX 0 (a+1)X (a+1)X X X (a+1)X (a+1)X (a+1)X aX (a+1)X 0 aX aX aX (a+1)X aX X (a+1)X X X (a+1)X (a+1)X aX 0 (a+1)X 0 X X aX 0 aX 0 aX aX aX 0 X X aX (a+1)X 0 X aX (a+1)X X aX (a+1)X aX (a+1)X 0 0 aX (a+1)X (a+1)X (a+1)X aX aX (a+1)X X X X (a+1)X 0 X (a+1)X 0 aX (a+1)X 0 aX aX 0 aX (a+1)X X X aX X (a+1)X (a+1)X 0 0 0 0 X X X (a+1)X X X X aX 0 aX X (a+1)X (a+1)X aX aX 0 aX (a+1)X (a+1)X (a+1)X (a+1)X (a+1)X aX aX aX 0 0 X X aX (a+1)X X X 0 aX aX (a+1)X X X X (a+1)X 0 aX 0 (a+1)X (a+1)X 0 aX 0 (a+1)X (a+1)X X 0 0 aX 0 0 0 X (a+1)X (a+1)X aX (a+1)X aX X 0 aX 0 (a+1)X (a+1)X aX (a+1)X 0 0 X X X X X X (a+1)X X 0 0 (a+1)X 0 0 aX (a+1)X aX (a+1)X X 0 (a+1)X generates a code of length 98 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 280. Homogenous weight enumerator: w(x)=1x^0+183x^280+204x^284+192x^286+120x^288+576x^290+99x^292+1344x^294+120x^296+960x^298+69x^300+48x^304+45x^308+42x^312+15x^316+9x^320+15x^324+12x^328+21x^332+6x^336+9x^340+3x^348+3x^376 The gray image is a linear code over GF(4) with n=392, k=6 and d=280. This code was found by Heurico 1.16 in 94.9 seconds.