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 X 1 1 1 X 1 1 X 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 X a*X a^2*X a^2*X 0 a^2*X a^2*X X X a^2*X 0 a^2*X a^2*X a*X a*X a^2*X 0 a^2*X 0 X a^2*X 0 X X 0 a^2*X 0 a*X a^2*X a*X a*X X 0 0 X 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 X a^2*X X X a^2*X a*X a*X 0 a^2*X X a*X a*X X X X a^2*X a^2*X a*X 0 0 X a*X X X a*X a^2*X X X X X a^2*X a^2*X 0 a*X X 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^2*X 0 0 X a*X a*X X a^2*X X 0 0 0 X 0 a^2*X a^2*X X a^2*X a*X a*X a^2*X X a^2*X a*X 0 X X 0 X a^2*X a*X X a^2*X a*X a^2*X 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 a^2*X a^2*X 0 X X a*X a^2*X X a^2*X a^2*X a^2*X 0 a*X a^2*X X a*X a^2*X a^2*X a^2*X a*X a^2*X a^2*X X a*X X a^2*X a*X X 0 a^2*X X 0 a*X a^2*X 0 generates a code of length 85 over F4[X]/(X^2) who´s minimum homogenous weight is 240. Homogenous weight enumerator: w(x)=1x^0+93x^240+216x^244+48x^246+150x^248+432x^250+132x^252+1296x^254+117x^256+1296x^258+87x^260+48x^264+27x^268+45x^272+24x^276+15x^280+27x^284+12x^288+15x^292+6x^296+6x^304+3x^328 The gray image is a linear code over GF(4) with n=340, k=6 and d=240. This code was found by Heurico 1.16 in 0.343 seconds.