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 1 1 1 X 1 X 1 1 1 X 1 X 1 1 X X 1 1 1 0 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 a*X 0 a^2*X X a*X X X X X a^2*X 0 a^2*X a*X a^2*X 0 X X X a^2*X a^2*X 0 a^2*X X X X 0 a*X a^2*X 0 X X 0 a^2*X X 0 a^2*X X a^2*X X a*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 a^2*X 0 0 a^2*X a^2*X a*X a*X X a*X X X a^2*X X X 0 0 X X 0 0 0 0 0 X 0 a*X 0 a*X 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 0 a*X 0 0 0 0 a^2*X a^2*X X X 0 X 0 a*X a*X a*X X 0 0 X X a^2*X a^2*X 0 a*X a*X X X X X 0 0 a*X 0 X a^2*X a*X a*X a*X 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^2*X a*X a^2*X X 0 0 X a^2*X a^2*X a^2*X a^2*X a^2*X a^2*X X 0 X a*X a^2*X 0 X a^2*X a^2*X 0 a^2*X a*X a^2*X a*X X X 0 a*X a^2*X a^2*X a^2*X X X a^2*X a^2*X a*X a*X a*X generates a code of length 95 over F4[X]/(X^2) who´s minimum homogenous weight is 268. Homogenous weight enumerator: w(x)=1x^0+39x^268+201x^272+423x^276+600x^280+1110x^284+1038x^288+450x^292+54x^296+45x^300+36x^304+24x^308+27x^312+6x^316+15x^320+12x^324+3x^328+6x^336+3x^340+3x^352 The gray image is a linear code over GF(4) with n=380, k=6 and d=268. This code was found by Heurico 1.16 in 0.42 seconds.