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 0 2 0 0 0 2 2 2 2a 0 2 2a 2a 2a 2a 2 2a 2a^2+2a+2 0 2a^2+2a+2 2a 0 2a^2+2a 2a^2+2 2a^2+2a+2 2a^2+2 2a^2+2a 2a^2 2a^2 2a 2 2a 2a^2+2a 2a^2 2a^2 0 0 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+2 2 2 2a^2+2a 2 2a+2 2a^2+2 2a+2 0 2a^2+2a 2 2a^2+2a 2a 2a^2 2a+2 2a^2 2a^2+2a 0 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+2 2a^2+2a+2 2 2a^2+2 2 2a^2+2a 2a^2+2a 2a^2 2a^2+2a 2a^2 2a^2+2a 0 2a^2 2a+2 2a+2 2a^2+2 2a 0 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 2a+2 2a^2+2a 0 2a^2 2a+2 2 2a^2+2 0 2a^2+2a+2 2a^2+2a 2a 2a^2+2 2a^2 2a^2+2a 2 2a^2 2a^2 0 generates a code of length 37 over GR(64,4) who´s minimum homogenous weight is 216. Homogenous weight enumerator: w(x)=1x^0+112x^216+1134x^224+2233x^232+3066x^240+4102x^248+5194x^256+229376x^259+6055x^264+5936x^272+3528x^280+1197x^288+210x^296 The gray image is a code over GF(8) with n=296, k=6 and d=216. This code was found by Heurico 1.16 in 20.7 seconds.