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 X 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 X 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 a*X 0 a^2*X X a*X X X X X X 0 X 0 a*X a*X X 0 X X a*X X X a*X a*X a*X a^2*X X a^2*X a*X a*X X 0 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*X a*X 0 a*X X X 0 a*X a^2*X a^2*X 0 a^2*X a*X X a*X a^2*X 0 0 a*X 0 0 X a*X a^2*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 0 a*X a^2*X 0 0 a^2*X a^2*X 0 a*X 0 X a^2*X a^2*X a^2*X a*X a^2*X X a*X a^2*X a*X 0 a^2*X a^2*X a*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 a^2*X X a^2*X X a^2*X X a^2*X 0 a*X a^2*X a*X X 0 0 0 X a^2*X 0 X X a^2*X a^2*X a^2*X a^2*X 0 a^2*X a^2*X a^2*X generates a code of length 88 over F4[X]/(X^2) who´s minimum homogenous weight is 248. Homogenous weight enumerator: w(x)=1x^0+66x^248+180x^252+348x^256+792x^260+1383x^264+1065x^268+63x^272+48x^276+27x^280+39x^284+15x^288+27x^292+15x^296+3x^300+9x^304+3x^308+3x^312+3x^316+3x^320+3x^336 The gray image is a linear code over GF(4) with n=352, k=6 and d=248. This code was found by Heurico 1.16 in 0.364 seconds.