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 2 1 0 2 0 0 0 2 2 2 2a 0 2 2a 2a 2a 2a 2 2a 2a^2+2a+2 0 0 2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a+2 0 2a+2 2a^2 2a^2 2a^2+2a+2 2a^2+2a+2 2 2a^2+2a+2 2a+2 0 2a+2 2a^2+2 2a^2+2a+2 2 2 2a^2+2a 0 0 2 0 0 2a^2+2 2a^2+2a+2 2a^2+2a 2a^2+2a 2 2a+2 2a^2+2 0 2 2a^2+2a+2 2a^2 2a 2a^2+2 2a^2 2a 0 2a^2+2a 2 0 2a^2+2a 2a^2 2a^2 2a^2+2 2a^2 0 2a^2+2 2a^2+2a+2 2 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a 0 0 2a 2a+2 2a 0 0 0 2 0 2 2a^2+2a+2 2a 2a+2 2a^2 2a^2+2 0 2a^2+2a+2 2 2a 2a^2+2a 2a^2+2a 2a^2+2a 2 2a^2+2a 2a 2a 2a^2+2a 2a^2+2a 2a+2 0 2a^2 0 2a^2+2a 2 0 2 2a 2a+2 2a^2+2a+2 2 2a^2+2 2a+2 2a^2+2a 2a^2+2a+2 2a^2 2a 0 0 0 0 2 2a^2+2 2a+2 2a 2a^2+2a+2 2a 2a^2 2a^2 2a+2 0 2a 0 2a^2 2a^2+2a 2a^2+2a 2 2a+2 2a^2+2a+2 2a^2+2 2a+2 2 2a 2a^2+2 2a^2 2 2a^2 2a^2+2a+2 2a 2a 2a^2+2 2a 2a^2+2a+2 2a^2+2 2a^2 2a^2 2a^2 2a 2a^2+2a generates a code of length 42 over GR(64,4) who´s minimum homogenous weight is 256. Homogenous weight enumerator: w(x)=1x^0+721x^256+1988x^264+2947x^272+3710x^280+28672x^287+4592x^288+200704x^295+5635x^296+5761x^304+4508x^312+2212x^320+623x^328+70x^336 The gray image is a code over GF(8) with n=336, k=6 and d=256. This code was found by Heurico 1.16 in 24.9 seconds.