The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 X 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 1 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 1 1 0 0 X a*X a*X a*X a*X a^2*X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a a^2*X+a^2 0 a^2*X+1 a a^2*X+a^2 1 0 a a^2*X+1 a^2*X+a^2 1 X a^2*X+1 X+a a*X+a^2 1 X 1 X+a a*X+a^2 1 X a*X+1 1 0 a^2*X+a a*X+a^2 a^2*X+1 X+a X a*X X+1 X+a a*X+1 a^2*X+a^2 1 a^2*X+a a*X+1 1 a*X+a^2 a*X X a^2*X+a a*X+1 1 a 1 1 a^2*X+a a*X+1 a X+a a^2*X+a a*X+a a^2*X+1 X+a^2 1 a*X+a^2 X+a^2 a*X+a^2 a^2*X+a^2 a^2 X+a^2 X+a^2 X+a^2 X 1 1 1 1 1 1 1 1 0 0 a*X a*X 0 a*X a^2*X a*X X a^2*X a^2*X X a^2*X a^2*X a^2*X+1 a a*X+1 a*X+a X 1 a^2*X+1 0 0 a^2*X 0 X 0 X a*X a*X a*X a*X X a^2*X a^2*X 0 a^2*X 0 a^2*X 0 X X a*X a*X X a^2*X a*X X a*X a^2*X X 0 X X a^2*X 0 a^2*X a*X a^2*X X a*X 0 a*X 0 a^2*X X a*X a^2*X X 0 0 a^2*X a*X 0 a*X a*X a^2*X a^2*X X 0 0 0 a^2*X a*X X a*X a^2*X 0 a*X a^2*X X a*X a^2*X X 0 X X a^2*X a^2*X 0 X a*X a^2*X X 0 a*X a^2*X 0 a^2*X a*X a*X a^2*X X a^2*X a*X a^2*X a*X 0 a*X X 0 0 0 X a*X a*X 0 a*X X X 0 X a*X X X 0 0 X X X 0 0 X X X a*X a*X 0 a*X a*X a*X X a^2*X a^2*X a^2*X X a^2*X a^2*X 0 a^2*X a^2*X X X a*X a^2*X a^2*X a^2*X a^2*X a^2*X a*X 0 a*X 0 a*X 0 0 a*X 0 a*X a^2*X a^2*X a^2*X a*X a^2*X 0 a*X 0 a^2*X 0 a*X a^2*X a^2*X a*X a*X a^2*X 0 a*X 0 X X X X a^2*X a*X a^2*X a*X a^2*X X X 0 0 0 X a^2*X 0 a^2*X 0 X 0 generates a code of length 99 over F4[X]/(X^2) who´s minimum homogenous weight is 288. Homogenous weight enumerator: w(x)=1x^0+168x^288+180x^289+264x^290+264x^291+267x^292+216x^293+888x^294+312x^295+198x^296+192x^297+111x^300+177x^304+36x^305+120x^306+120x^307+24x^308+72x^309+264x^310+72x^311+30x^312+72x^313+27x^316+12x^320+3x^324+6x^328 The gray image is a linear code over GF(4) with n=396, k=6 and d=288. This code was found by Heurico 1.16 in 0.3 seconds.