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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 X X X a*X 0 X a^2*X a*X a^2*X a*X X X a*X 0 a^2*X a*X X a*X 0 X 0 a^2*X a*X X a^2*X a*X 0 0 a*X a*X X X a*X a*X X 0 0 a*X a^2*X 0 0 X a*X 0 0 a^2*X a*X a^2*X 0 a*X a^2*X X a*X X X X X a^2*X 0 0 X X a*X 0 a*X a^2*X a*X X X 0 a*X X a^2*X a^2*X X 0 a^2*X 0 0 a*X a*X 0 a^2*X a^2*X a^2*X 0 a^2*X a^2*X a^2*X a^2*X 0 a^2*X 0 0 0 X 0 0 X a^2*X a*X a*X a*X 0 0 a*X a*X 0 a*X a^2*X a*X a^2*X a^2*X 0 X a^2*X 0 a^2*X 0 a*X a*X a*X a*X a^2*X 0 a^2*X a^2*X 0 0 a^2*X X a*X a^2*X X X 0 X 0 a*X a*X 0 a^2*X a^2*X a^2*X a*X a^2*X a^2*X X X X X a^2*X X X X a^2*X a^2*X a*X a*X 0 a*X X 0 a^2*X 0 a^2*X 0 X X X X X a^2*X a*X a^2*X a^2*X X 0 0 0 a*X a^2*X X 0 X a*X a^2*X X X a^2*X 0 0 0 0 0 X 0 a^2*X 0 X a*X a^2*X X X X 0 X a^2*X X X a^2*X a^2*X a^2*X a*X 0 a^2*X a^2*X 0 X a*X 0 a^2*X 0 a*X X X a*X 0 a*X X a*X 0 X a*X a^2*X a*X a^2*X X a*X a*X a^2*X a*X a*X a*X a*X a^2*X a*X 0 0 0 0 0 a^2*X a^2*X X X 0 a*X a^2*X 0 0 X a^2*X X X a*X a^2*X a^2*X a^2*X 0 a^2*X a^2*X 0 a*X X X X X X 0 a^2*X X a^2*X X X a*X X a*X 0 X 0 0 0 0 0 X X X a^2*X X X X a*X 0 0 0 a*X X a*X a^2*X a^2*X a*X 0 a*X X a*X a*X 0 0 a^2*X a^2*X a^2*X a*X X 0 0 X a*X X a^2*X X a^2*X X X a^2*X 0 a*X 0 X 0 0 X a*X X a*X a*X a^2*X a^2*X X 0 0 X a^2*X a^2*X a^2*X a^2*X a^2*X X X 0 a*X X a^2*X a^2*X 0 0 0 0 a^2*X a^2*X a^2*X a^2*X a^2*X X a*X a^2*X X a^2*X a*X X a^2*X X X X a^2*X X a*X 0 a*X a*X generates a code of length 99 over F4[X]/(X^2) who´s minimum homogenous weight is 280. Homogenous weight enumerator: w(x)=1x^0+45x^280+186x^284+159x^288+192x^291+129x^292+1152x^295+123x^296+1728x^299+93x^300+72x^304+54x^308+51x^312+24x^316+21x^320+9x^324+9x^328+15x^332+9x^336+15x^340+6x^344+3x^388 The gray image is a linear code over GF(4) with n=396, k=6 and d=280. This code was found by Heurico 1.16 in 0.459 seconds.