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 X 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 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 0 aX (a+1)X X aX X X X X (a+1)X 0 0 X X aX 0 aX (a+1)X aX X X 0 aX X (a+1)X (a+1)X X 0 (a+1)X 0 0 aX aX 0 (a+1)X (a+1)X (a+1)X 0 (a+1)X (a+1)X (a+1)X (a+1)X 0 (a+1)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 (a+1)X aX aX 0 aX X 0 (a+1)X 0 (a+1)X 0 X X X X X (a+1)X aX (a+1)X (a+1)X X 0 0 0 aX (a+1)X X 0 X aX (a+1)X X X (a+1)X 0 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 aX 0 0 0 0 0 (a+1)X (a+1)X X X 0 aX (a+1)X 0 0 X (a+1)X X X aX (a+1)X (a+1)X (a+1)X 0 (a+1)X (a+1)X 0 aX X X X X X 0 (a+1)X X (a+1)X X X aX X aX 0 X 0 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 aX (a+1)X (a+1)X X 0 0 X (a+1)X (a+1)X (a+1)X (a+1)X (a+1)X X X 0 aX X (a+1)X (a+1)X 0 0 0 0 (a+1)X (a+1)X (a+1)X (a+1)X (a+1)X X aX (a+1)X X (a+1)X aX X (a+1)X X X X (a+1)X X aX 0 aX aX generates a code of length 99 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 280. Homogenous weight enumerator: w(x)=1x^0+45x^280+186x^284+159x^288+192x^291+129x^292+1152x^295+123x^296+1728x^299+93x^300+72x^304+54x^308+51x^312+24x^316+21x^320+9x^324+9x^328+15x^332+9x^336+15x^340+6x^344+3x^388 The gray image is a linear code over GF(4) with n=396, k=6 and d=280. This code was found by Heurico 1.16 in 0.456 seconds.