The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a^2+2 1 1 1 1 2a^2+2a 1 1 1 2a^2 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 2a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a^2+2a 1 1 1 1 0 1 0 2a^2+2 2a 2a^2+2a 2 2a^2+2a+2 2a+2 2a^2 1 2a^2+3 a 2a^2+a+2 3a^2+2 a^2 2a^2+3a+1 3a+3 1 3 3a a^2+2 2a^2+3a+3 1 2a^2+3a 2a+1 3a^2+3a+2 1 a^2+a+2 a^2+a 3a^2+2a 3a^2+a 3a+3 a+3 3a^2 2a^2+a+2 2a^2+2a+1 2a^2+a+3 1 2a^2+2a+3 3a^2+3a 1 a 3a^2+2a+3 a^2+3a+3 3a^2+a+1 a^2+a+1 3a^2+2a+1 a^2+a+3 3a^2+3a+1 2a^2+3a+2 2a^2+2a+1 a^2+1 a^2+3a+1 a^2+3a+2 3a^2+3 3a^2+3a+3 2a^2+a+3 3a^2+1 a^2+3 a^2+2a+2 a^2+3a 1 a^2+1 3a^2+2a+2 a^2+a+1 2a^2+2a 0 0 1 1 a a^2 3a+3 a^2+3a a^2+3a+3 a^2+2a+1 a^2+2a+3 a^2+3a+1 2 3 2a^2+3a+3 a^2+2 2a^2+a a^2+3a+2 1 a^2+a 2a^2+a+2 a^2+3 2a^2+2 a^2+1 a^2+2a 2a^2+2a+3 3a^2+2 3a^2+a+3 2a^2+3a a^2+a+1 2a^2+2a 2a^2+a+1 2a^2+3 3a^2+2a+3 2a^2+3 3a^2+a 2a 3a^2+2 2a^2+a 2a^2+3a+1 3a^2+3a+2 2a^2+3a+3 2a^2+a+3 2 2a^2+2a+2 3a+2 a^2+3a+1 3a^2+3a+3 3a^2 3a+3 a^2+a+3 3a 3a^2+3 a^2+2a+1 2a^2+1 2a^2+3a+3 2a^2+1 3a^2+3a+1 2a^2+a 3a^2+a+2 2a^2+a+2 a^2+2a+3 3a^2+2 3a^2+2a+2 3a^2+3a 3a^2+3a 2a^2+a+1 generates a code of length 67 over GR(64,4) who´s minimum homogenous weight is 453. Homogenous weight enumerator: w(x)=1x^0+11032x^453+7392x^454+840x^455+14x^456+43736x^461+20216x^462+3360x^463+147x^464+55048x^469+22064x^470+4200x^471+343x^472+65800x^477+25592x^478+2352x^479+7x^520 The gray image is a code over GF(8) with n=536, k=6 and d=453. This code was found by Heurico 1.16 in 81.2 seconds.