The generator matrix 1 0 0 1 1 1 1 1 1 1 1 a^2*X 1 1 1 1 1 1 0 1 a*X 1 1 1 1 a*X X 1 1 1 a^2*X 1 1 1 1 1 1 1 a^2*X 1 1 0 a*X 1 1 1 1 1 1 1 1 X X 1 0 1 X a*X 1 1 1 1 1 1 1 1 1 a^2*X 1 a*X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 a*X 1 a*X 1 1 1 1 0 1 0 0 X a^2*X 1 a^2*X+a a^2 1 a 1 a^2*X+1 a^2*X+1 X+a^2 a^2*X+a X+a^2 a 1 a^2*X+a^2 1 a^2*X+a^2 X a^2*X a*X+1 1 a^2*X 1 X+1 a*X+a^2 1 a^2*X X a^2*X a^2*X+a a X+1 a^2*X+a^2 a^2*X a*X+a a^2 1 1 X+a^2 X+a a*X+1 X+a a^2*X+1 0 a^2*X+a^2 0 1 1 a*X 1 a^2*X+a 1 1 0 X+1 a a^2*X+a a*X+1 1 a X+1 X+1 1 X 1 a*X+a 0 a*X+1 a*X+a X+a a^2*X+1 X X+a^2 a^2*X a a^2*X+1 a^2*X+1 X+1 a*X+1 a^2 a*X+a^2 a*X+a^2 X+a a*X+a^2 1 a*X+a^2 1 X+a a X+a^2 a*X+a 0 0 1 1 a^2*X+a a^2 X+1 a^2*X+1 a*X+1 a^2 0 a*X+1 a X a^2*X a^2*X+a^2 X+a^2 a*X+a a a^2*X+a a*X+a^2 a*X+a a^2*X X+a^2 a a*X+1 1 X+a^2 a^2*X+1 a*X a^2*X a^2*X+a a*X+1 X+a X+1 a^2*X 0 a^2*X 1 X+a^2 a^2*X+a^2 a^2*X+1 a^2 a^2*X+1 X+1 a*X+a^2 X a*X a^2*X 1 a^2*X+a^2 X+a^2 a*X+1 X+1 a^2*X+a^2 a*X+a 0 a^2*X 0 1 a^2 X+a X+a a*X+a^2 X a^2*X+1 a^2*X+a a^2*X+a a^2*X+a a^2*X+a a*X a*X+a^2 1 a X+a a*X+a^2 a^2*X+a^2 a X a^2 a^2*X+a a*X a^2*X+a^2 a*X+a a*X a^2*X+a a*X+a^2 1 a*X+a^2 X+a^2 a^2*X+1 a*X+a a*X+a^2 a 0 a*X 0 0 0 a^2*X 0 0 a^2*X a^2*X a^2*X X a*X X 0 a*X a*X X X a^2*X X a^2*X a*X X a^2*X a^2*X a^2*X a^2*X a^2*X a*X a*X a^2*X a^2*X a*X a*X X a*X X a^2*X 0 a*X 0 0 a*X 0 0 0 0 a^2*X X X a*X a*X a^2*X 0 0 X a*X a^2*X X a*X 0 a^2*X a^2*X a*X a^2*X 0 0 a^2*X 0 a*X a^2*X X a^2*X X X a*X 0 X a^2*X X X 0 a*X X a^2*X a*X a*X a^2*X X 0 0 X a^2*X a*X 0 0 a^2*X generates a code of length 96 over F4[X]/(X^2) who´s minimum homogenous weight is 276. Homogenous weight enumerator: w(x)=1x^0+1404x^276+3000x^280+3198x^284+2925x^288+2022x^292+1680x^296+1002x^300+738x^304+342x^308+72x^312 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 7.92 seconds.