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 1 1 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 0 X 0 0 0 0 X X X a*X 0 X a^2*X X a^2*X a^2*X a^2*X a*X X a^2*X 0 a^2*X a*X X 0 a*X X 0 0 a^2*X a^2*X a^2*X a^2*X 0 a*X a*X a*X 0 a^2*X a*X a*X 0 a*X a^2*X X a*X 0 X 0 X X X a*X X 0 X X a^2*X a^2*X X a*X 0 a*X a^2*X a^2*X a*X a*X a^2*X a^2*X X a^2*X a*X 0 0 X a^2*X 0 X a^2*X a^2*X X 0 a^2*X a*X X a*X a^2*X 0 a^2*X a*X a*X a*X 0 a*X X 0 X a^2*X 0 0 X 0 0 X a^2*X a*X a*X a*X 0 0 a*X X 0 0 a^2*X 0 a*X a*X a*X a*X a^2*X a^2*X X X 0 a^2*X X a^2*X 0 a^2*X a*X a*X X 0 0 a^2*X 0 0 a*X a*X X a*X X X X X a*X a^2*X a*X a^2*X a^2*X a*X a*X X X 0 a*X 0 X a^2*X a^2*X X X a*X a^2*X X X 0 a*X a*X a^2*X X X a*X X X a^2*X 0 0 a*X X X 0 a^2*X a^2*X a^2*X a^2*X a^2*X a*X X 0 a*X a*X a^2*X a^2*X a*X 0 0 0 X 0 a^2*X 0 X a*X a^2*X X X X X 0 a*X 0 a*X 0 a^2*X a^2*X X X a^2*X a^2*X a^2*X a*X a^2*X 0 a*X a*X a*X a^2*X a*X X a^2*X X X a^2*X a^2*X a*X 0 a^2*X 0 X X a*X 0 a*X 0 a*X a*X a*X 0 X X a*X a^2*X 0 X a*X a^2*X X a*X a^2*X a*X a^2*X 0 0 a*X a^2*X a^2*X a^2*X a*X a*X a^2*X X X X a^2*X 0 X a^2*X 0 a*X a^2*X 0 a*X a*X 0 a*X a^2*X X X a*X X a^2*X a^2*X 0 0 0 0 X X X a^2*X X X X a*X 0 a*X X a^2*X a^2*X a*X a*X 0 a*X a^2*X a^2*X a^2*X a^2*X a^2*X a*X a*X a*X 0 0 X X a*X a^2*X X X 0 a*X a*X a^2*X X X X a^2*X 0 a*X 0 a^2*X a^2*X 0 a*X 0 a^2*X a^2*X X 0 0 a*X 0 0 0 X a^2*X a^2*X a*X a^2*X a*X X 0 a*X 0 a^2*X a^2*X a*X a^2*X 0 0 X X X X X X a^2*X X 0 0 a^2*X 0 0 a*X a^2*X a*X a^2*X X 0 a^2*X generates a code of length 98 over F4[X]/(X^2) who´s minimum homogenous weight is 280. Homogenous weight enumerator: w(x)=1x^0+183x^280+204x^284+192x^286+120x^288+576x^290+99x^292+1344x^294+120x^296+960x^298+69x^300+48x^304+45x^308+42x^312+15x^316+9x^320+15x^324+12x^328+21x^332+6x^336+9x^340+3x^348+3x^376 The gray image is a linear code over GF(4) with n=392, k=6 and d=280. This code was found by Heurico 1.16 in 96 seconds.