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 2 2 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 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 2 2a+2 2a 0 2a+2 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 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 2a^2+2 2a^2+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 2a 2a 2a^2+2a 2a^2+2a 2a+2 0 2a^2 0 2a^2+2a 2 0 2 2a 2a^2+2a 2a^2 2 2a^2+2a+2 2a+2 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 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 2 2a^2+2a 2a+2 0 2 2a^2+2 2a+2 generates a code of length 39 over GR(64,4) who´s minimum homogenous weight is 232. Homogenous weight enumerator: w(x)=1x^0+294x^232+1337x^240+2408x^248+3290x^256+3584x^259+4732x^264+50176x^267+5558x^272+175616x^275+5859x^280+5411x^288+2828x^296+931x^304+119x^312 The gray image is a code over GF(8) with n=312, k=6 and d=232. This code was found by Heurico 1.16 in 22.5 seconds.