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 1 1 X 1 1 0 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 0 1 1 a^2*X 1 a^2*X 1 1 0 1 1 1 1 1 1 1 1 1 a^2*X a^2*X 1 1 1 1 1 X 1 a*X a^2*X 1 1 1 1 1 1 a^2*X a*X a^2*X 1 0 1 1 1 1 1 0 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 a*X+a a^2*X 1 a*X+a X 1 a^2*X+a X+1 a^2*X+a a^2*X+1 a^2*X+a^2 a*X+a^2 1 a^2*X+a a^2*X a^2*X+1 0 a a*X+a^2 a^2 1 X X+1 1 a 1 a a*X+a^2 a*X a*X+1 a^2*X+a^2 X+1 0 a*X+a^2 a^2*X+a X+1 X+a X+a^2 a^2*X 1 a^2 a^2 a*X+a X+1 a^2 1 a^2*X+a 0 1 X+a^2 1 a^2*X+a X+a a*X+1 X+a 1 1 1 1 1 X+a^2 0 X 1 0 1 X+a^2 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+1 a^2*X+a 0 a^2 a*X+1 a^2*X+a^2 X+1 a*X X a*X+1 X+1 a*X+a^2 a^2 a^2 0 a*X X+a a*X X 1 a a^2 X+a^2 X a a^2*X+1 a*X+1 X 1 1 a*X+1 a*X+a 0 a^2*X+a a^2*X+a^2 a*X+a^2 a^2*X+a 1 1 a^2*X a^2*X+1 X+a^2 a a*X+a a^2*X 0 a*X+1 1 a^2*X+1 a^2*X+a a^2*X a*X+a 0 a*X a^2*X+a^2 1 1 a^2*X+a^2 X+1 a^2*X+a^2 a*X+a a a^2*X+1 a^2*X+a a^2*X X+a a*X+a^2 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 0 a*X a^2*X a^2*X a*X X a*X 0 X X X 0 0 0 X X X 0 0 a*X a*X X a^2*X X a*X a*X 0 X X 0 0 X a*X a*X a*X a*X X a*X a*X 0 X a*X a*X 0 a^2*X a*X X 0 0 0 a^2*X a^2*X a^2*X X a*X a*X X 0 a*X a^2*X X a^2*X X a^2*X 0 0 0 generates a code of length 97 over F4[X]/(X^2) who´s minimum homogenous weight is 279. Homogenous weight enumerator: w(x)=1x^0+1188x^279+537x^280+2328x^283+660x^284+2208x^287+822x^288+2040x^291+762x^292+1500x^295+585x^296+1248x^299+207x^300+1020x^303+348x^304+444x^307+132x^308+276x^311+24x^312+36x^315+15x^316+3x^320 The gray image is a linear code over GF(4) with n=388, k=7 and d=279. This code was found by Heurico 1.16 in 2.6 seconds.