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 X 1 1 1 X 1 1 X 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 X aX (a+1)X (a+1)X 0 (a+1)X (a+1)X X X (a+1)X 0 (a+1)X (a+1)X aX aX (a+1)X 0 (a+1)X 0 X (a+1)X 0 X X 0 (a+1)X 0 aX (a+1)X aX aX X 0 0 X 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 X (a+1)X X X (a+1)X aX aX 0 (a+1)X X aX aX X X X (a+1)X (a+1)X aX 0 0 X aX X X aX (a+1)X X X X X (a+1)X (a+1)X 0 aX X 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 (a+1)X 0 0 X aX aX X (a+1)X X 0 0 0 X 0 (a+1)X (a+1)X X (a+1)X aX aX (a+1)X X (a+1)X aX 0 X X 0 X (a+1)X aX X (a+1)X aX (a+1)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 (a+1)X (a+1)X 0 X X aX (a+1)X X (a+1)X (a+1)X (a+1)X 0 aX (a+1)X X aX (a+1)X (a+1)X (a+1)X aX (a+1)X (a+1)X X aX X (a+1)X aX X 0 (a+1)X X 0 aX (a+1)X 0 generates a code of length 85 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 240. Homogenous weight enumerator: w(x)=1x^0+93x^240+216x^244+48x^246+150x^248+432x^250+132x^252+1296x^254+117x^256+1296x^258+87x^260+48x^264+27x^268+45x^272+24x^276+15x^280+27x^284+12x^288+15x^292+6x^296+6x^304+3x^328 The gray image is a linear code over GF(4) with n=340, k=6 and d=240. This code was found by Heurico 1.16 in 0.344 seconds.