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 X 1 X 1 1 X 1 1 1 1 1 1 X 1 1 X 1 0 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 0 aX X X 0 X X X aX X 0 X X (a+1)X (a+1)X X 0 aX aX (a+1)X (a+1)X aX aX aX (a+1)X (a+1)X aX X (a+1)X 0 X X 0 (a+1)X aX 0 (a+1)X aX X aX aX (a+1)X 0 0 X X 0 X 0 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 (a+1)X X (a+1)X X X (a+1)X aX aX X X aX 0 aX X aX X 0 X (a+1)X X 0 (a+1)X aX X 0 X 0 (a+1)X aX (a+1)X X (a+1)X (a+1)X 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 aX X X 0 aX 0 aX aX aX 0 X X aX (a+1)X 0 X (a+1)X aX X (a+1)X aX (a+1)X X aX 0 0 (a+1)X aX (a+1)X aX (a+1)X aX X (a+1)X aX aX X (a+1)X 0 0 (a+1)X (a+1)X aX (a+1)X (a+1)X X aX 0 0 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 aX 0 (a+1)X 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 (a+1)X 0 aX aX X 0 0 aX (a+1)X (a+1)X aX (a+1)X X (a+1)X 0 aX X 0 X (a+1)X aX (a+1)X (a+1)X X X aX X 0 generates a code of length 93 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 264. Homogenous weight enumerator: w(x)=1x^0+105x^264+24x^266+228x^268+252x^270+159x^272+432x^274+129x^276+984x^278+57x^280+984x^282+93x^284+396x^286+57x^288+51x^292+18x^296+36x^300+27x^304+15x^308+15x^312+15x^316+9x^324+3x^328+6x^344 The gray image is a linear code over GF(4) with n=372, k=6 and d=264. This code was found by Heurico 1.16 in 0.406 seconds.