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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 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 2 0 2a^2+2a 2a^2 2a+2 2a^2+2a+2 2a+2 2a^2 2a+2 2a^2+2a+2 2a 2a^2+2a+2 2a 2a^2+2a 2a+2 2 2 2a^2+2a 2a 2a^2+2a 2a 2 2a^2+2 2a^2+2 2a^2 2a^2+2 2 2a^2+2a 2a+2 2a^2 2a^2 0 2a^2+2 2a+2 2a^2+2a 2 2a^2+2 2a 2a^2 0 2a^2 2a^2 2a^2 2 2a+2 2a^2+2a 0 2a^2+2 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 0 2a^2 2a 2a^2+2a+2 2a^2+2a 2a+2 2a^2 2 2a^2+2a+2 2 2a^2+2a+2 2a 2 2a+2 0 2a^2 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a^2+2 2a^2+2a 2a^2 2a^2+2a+2 2a^2+2a 2a^2 2a^2+2a 2 2a^2+2 2a^2+2a+2 2a^2+2 2a^2 2a 2a 2a^2 2a^2 0 2 2 2a^2+2a+2 2a^2+2a 0 2a^2 2a^2 2 2a^2+2a 2a^2 2 2a 2a^2+2a+2 2a 2a^2+2a+2 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 2a^2+2a 2a 2 0 2 2a+2 2a^2+2a 2a^2+2 2a^2+2a 2 2a^2+2a 2a 0 0 2a^2 2a^2+2a+2 2a+2 2 2a 2a^2+2 2a^2+2a 2a^2+2a 2a^2 2a+2 2a^2+2a+2 2 2a^2 2a^2+2a 2 2a+2 2a^2+2a+2 2a+2 2 2 0 0 2a^2 2a^2 2a^2+2a 0 2a^2+2a 2a^2+2 2a 0 2a^2+2a+2 2a+2 2a^2 2a+2 2a+2 2a^2 2a^2+2a 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 2 2a+2 2a^2+2a 2a 2a+2 2a 2 2a^2+2a+2 0 2a^2+2a+2 2a^2+2a+2 2 2a^2+2a 0 2a^2+2a+2 0 2 2 2 0 2a^2 2 2a+2 2a^2+2a+2 2a+2 2a^2+2 2a+2 0 2a+2 2 2 0 2 2a+2 2a+2 2a^2+2a 2a 2a^2+2a 2a^2+2a 2 2a^2 2a^2+2a+2 0 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a 2a^2 2a+2 2a^2+2 2a^2+2 2a^2 2a^2 generates a code of length 71 over GR(64,4) who´s minimum homogenous weight is 448. Homogenous weight enumerator: w(x)=1x^0+203x^448+1253x^456+2072x^464+2947x^472+3542x^480+3584x^483+3703x^488+50176x^491+3927x^496+175616x^499+4123x^504+3906x^512+3206x^520+2205x^528+1085x^536+434x^544+140x^552+14x^560+7x^568 The gray image is a code over GF(8) with n=568, k=6 and d=448. This code was found by Heurico 1.16 in 46.3 seconds.