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 X 1 X 1 1 X 1 1 1 1 1 1 X 1 1 X 1 0 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 0 a*X X X 0 X X X a*X X 0 X X a^2*X a^2*X X 0 a*X a*X a^2*X a^2*X a*X a*X a*X a^2*X a^2*X a*X X a^2*X 0 X X 0 a^2*X a*X 0 a^2*X a*X X a*X a*X a^2*X 0 0 X X 0 X 0 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 a^2*X X a^2*X X X a^2*X a*X a*X X X a*X 0 a*X X a*X X 0 X a^2*X X 0 a^2*X a*X X 0 X 0 a^2*X a*X a^2*X X a^2*X a^2*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 a*X X X 0 a*X 0 a*X a*X a*X 0 X X a*X a^2*X 0 X a^2*X a*X X a^2*X a*X a^2*X X a*X 0 0 a^2*X a*X a^2*X a*X a^2*X a*X X a^2*X a*X a*X X a^2*X 0 0 a^2*X a^2*X a*X a^2*X a^2*X X a*X 0 0 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*X 0 a^2*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^2*X 0 a*X a*X X 0 0 a*X a^2*X a^2*X a*X a^2*X X a^2*X 0 a*X X 0 X a^2*X a*X a^2*X a^2*X X X a*X X 0 generates a code of length 93 over F4[X]/(X^2) who´s minimum homogenous weight is 264. Homogenous weight enumerator: w(x)=1x^0+105x^264+24x^266+228x^268+252x^270+159x^272+432x^274+129x^276+984x^278+57x^280+984x^282+93x^284+396x^286+57x^288+51x^292+18x^296+36x^300+27x^304+15x^308+15x^312+15x^316+9x^324+3x^328+6x^344 The gray image is a linear code over GF(4) with n=372, k=6 and d=264. This code was found by Heurico 1.16 in 0.406 seconds.