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 1 X 1 1 1 1 1 1 1 X 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 (a+1)X 1 1 X 1 1 1 1 1 1 1 X X 0 X 0 1 1 1 1 1 0 1 aX aX 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 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 (a+1)X+a+1 1 a (a+1)X X+a+1 X+1 X+a aX+1 1 1 aX 1 aX a+1 (a+1)X X+a (a+1)X+a+1 a+1 (a+1)X+a X+1 X+a+1 X+1 aX+a X+a+1 aX+1 (a+1)X+1 aX+1 (a+1)X aX+a+1 1 aX+a+1 (a+1)X 1 0 a+1 1 (a+1)X+1 X aX+a X+a (a+1)X+a X+a+1 X 0 1 aX 0 1 aX+a a+1 aX+1 (a+1)X+a (a+1)X+1 1 X 1 1 aX X+a 0 aX 1 aX+a X+a X+a (a+1)X 1 aX+a X+a+1 X aX+a+1 aX+a+1 a a X+a 1 aX+a X 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 aX X+1 aX 1 aX+a+1 aX+a (a+1)X 0 (a+1)X+1 X a (a+1)X+a (a+1)X X a+1 a+1 (a+1)X+1 X+a aX aX+a 0 X+a+1 aX+1 X+a+1 aX+a X X+1 X+1 X (a+1)X+1 X X+a (a+1)X+a 1 1 (a+1)X+a+1 (a+1)X X+a aX+a 1 a aX a+1 1 (a+1)X+a+1 1 1 X+a X+a+1 aX+a a (a+1)X+a X+1 aX+a+1 X 0 X+1 a+1 X+a+1 X a+1 (a+1)X+a 0 a aX X+1 (a+1)X+1 aX+a+1 X+a (a+1)X+a+1 aX+a aX+1 (a+1)X X+a X+a+1 aX+a (a+1)X+1 0 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 (a+1)X 0 0 0 (a+1)X (a+1)X (a+1)X (a+1)X aX (a+1)X aX X X X aX X X aX X 0 0 aX aX X aX 0 0 aX aX X X (a+1)X 0 X aX (a+1)X 0 X 0 0 (a+1)X aX X aX 0 X (a+1)X aX (a+1)X X 0 aX (a+1)X X aX X (a+1)X aX aX X (a+1)X (a+1)X (a+1)X aX X X aX 0 (a+1)X 0 0 aX aX 0 (a+1)X aX X (a+1)X generates a code of length 96 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 276. Homogenous weight enumerator: w(x)=1x^0+1131x^276+708x^278+2076x^280+1044x^282+2310x^284+924x^286+1866x^288+660x^290+1524x^292+492x^294+1230x^296+360x^298+861x^300+168x^302+543x^304+168x^306+219x^308+60x^310+12x^312+24x^314+3x^316 The gray image is a linear code over GF(4) with n=384, k=7 and d=276. This code was found by Heurico 1.16 in 6.2 seconds.