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 X 1 1 X 1 1 1 1 1 1 1 1 X 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 X aX X X aX aX aX (a+1)X X (a+1)X aX aX X 0 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 0 (a+1)X aX X aX (a+1)X 0 0 aX 0 0 X aX (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 0 X (a+1)X (a+1)X (a+1)X aX (a+1)X X aX (a+1)X aX 0 (a+1)X (a+1)X aX 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 (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 0 0 0 X (a+1)X 0 X X (a+1)X (a+1)X (a+1)X (a+1)X 0 (a+1)X (a+1)X (a+1)X generates a code of length 88 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 248. Homogenous weight enumerator: w(x)=1x^0+66x^248+180x^252+348x^256+792x^260+1383x^264+1065x^268+63x^272+48x^276+27x^280+39x^284+15x^288+27x^292+15x^296+3x^300+9x^304+3x^308+3x^312+3x^316+3x^320+3x^336 The gray image is a linear code over GF(4) with n=352, k=6 and d=248. This code was found by Heurico 1.16 in 0.366 seconds.