The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 (a+1)X 1 X 1 1 1 aX 1 0 1 1 1 X X 1 1 1 (a+1)X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 aX aX aX 1 1 X 1 X 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 (a+1)X (a+1)X 1 1 1 X 0 1 0 0 X aX 1 (a+1)X+a a+1 1 (a+1)X+a a+1 (a+1)X+1 (a+1)X+1 1 aX+a 1 aX+a+1 1 (a+1)X+a+1 X+a X X aX+a 1 X+a aX+1 aX+1 1 1 (a+1)X X X 1 X+a X+1 X+1 X+a+1 X+1 X 1 0 aX+a (a+1)X+a+1 (a+1)X+a X+1 aX+a+1 a+1 0 aX aX 1 1 aX+a+1 a+1 0 aX 1 (a+1)X+a (a+1)X+a X+a 1 aX+a aX+a+1 a+1 (a+1)X 1 aX+1 (a+1)X+a+1 aX+a+1 a (a+1)X+a+1 1 X aX+a (a+1)X+a (a+1)X+1 (a+1)X+1 X+1 (a+1)X+a 1 1 (a+1)X+1 0 a+1 1 0 0 1 1 (a+1)X+a (a+1)X+a+1 X+1 aX+1 (a+1)X+1 a+1 aX+a+1 X+a+1 a 0 aX+a aX+a (a+1)X+a+1 (a+1)X+a (a+1)X+1 X X aX+a 1 (a+1)X+1 aX+a a a 1 aX+a+1 (a+1)X+1 (a+1)X+a+1 aX+1 (a+1)X+a aX+a aX aX (a+1)X+1 aX+1 X+a 0 (a+1)X aX+a+1 X+1 X+a+1 (a+1)X+a a+1 aX+1 aX (a+1)X+a aX 1 1 X X+a X 1 0 X+a a a+1 aX+1 X X aX+a+1 a aX+a (a+1)X+1 X+a+1 X aX a+1 0 X X X+a aX X+a+1 X+a+1 X+a X 0 (a+1)X+a aX+a+1 X+a (a+1)X+1 X+a+1 0 0 0 (a+1)X 0 0 (a+1)X (a+1)X (a+1)X 0 0 0 X aX (a+1)X X aX (a+1)X aX 0 (a+1)X (a+1)X (a+1)X 0 X aX 0 X X (a+1)X (a+1)X X aX 0 X 0 aX 0 (a+1)X X X X X aX (a+1)X X aX (a+1)X X aX aX 0 (a+1)X X X X (a+1)X aX 0 X aX X aX X aX X 0 (a+1)X X 0 (a+1)X aX aX (a+1)X (a+1)X (a+1)X 0 (a+1)X aX aX 0 X (a+1)X aX 0 X generates a code of length 86 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 246. Homogenous weight enumerator: w(x)=1x^0+648x^246+612x^247+186x^248+1740x^250+1272x^251+204x^252+2052x^254+1092x^255+159x^256+1488x^258+1032x^259+159x^260+1104x^262+1020x^263+144x^264+888x^266+648x^267+84x^268+732x^270+300x^271+33x^272+456x^274+120x^275+30x^276+72x^278+48x^279+15x^280+36x^282+3x^288+3x^292+3x^296 The gray image is a linear code over GF(4) with n=344, k=7 and d=246. This code was found by Heurico 1.16 in 1.85 seconds.