The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 2 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 2a^2+2a+2 1 1 0 1 1 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3 a 3a^2+2 a^2+3a 1 0 2a^2+3a+1 3a^2+2a+3 2a^2+3 a^2+3a+3 3a^2+2a+3 a 1 a^2+3a 0 3a^2+2 a^2+3a+3 2a^2+3a+3 2a^2+3 3a^2+2a+2 1 2a^2+3a+1 2a^2+3 2 a+2 a^2+3a+1 3a^2+3 a^2+a 1 a+2 a^2+a 2a^2+3a+3 2a^2+2a+1 1 a^2+3a+1 3a^2+3 2 a+2 2a^2+2a+1 3a^2+2a+2 a^2+2a+1 a^2+a 3a^2 2a^2+1 a^2+3a+3 2a 2a^2+2a 3a^2+2 3a^2+3a+1 2a^2+3a 2a^2+3a+3 3a^2+3 3a^2 3a+2 2a^2+2a+2 a+1 2a^2+a+1 3a+1 2a^2+3a+3 2a^2 a^2 a^2+2a+1 a 1 a^2+3a+1 0 0 0 2a^2+2 0 2 2 2a+2 2 2a^2 2a+2 2a^2+2 2a^2 2 2a^2+2a 2a^2+2a+2 0 2a^2+2 2 2a^2+2a+2 2a 2a 2a^2+2a 2a+2 2 2a^2+2a+2 2a^2+2 2a^2+2a+2 2a^2+2 2a 2a^2+2a 2a^2+2a 2a^2+2a+2 0 2a^2+2a+2 2a^2 2a 0 2a^2 2a 2a^2+2a 2 2a^2 2a^2 2a^2+2a 0 2a^2 0 2a+2 2a^2+2 2a^2 2a 2a^2+2a+2 2a^2 2a^2+2 2a^2+2 0 2 2a^2+2a 2 2a 2a^2+2a+2 2a^2+2a 2a 2a^2+2a+2 2a^2+2a 0 2a^2+2a+2 2a^2+2 2a+2 2a^2+2a 0 2a^2+2a 2a+2 0 0 0 0 2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2 2a^2+2a+2 2a+2 2a+2 2a^2 2a^2 2a 2a^2 2 0 2a^2+2a 2a 2 2a 2a^2+2a 2 2a 2a+2 2a+2 2a^2+2a+2 2a^2+2a 2a^2+2 0 2a+2 2a^2+2 2a^2+2 2a 2a^2 2a^2+2 2a+2 2 2a^2 0 2a 0 0 2a^2+2a 2a+2 2a^2+2a 2a^2+2a+2 2a^2 0 2 0 2a^2 2 2 2a^2+2 2a 2a^2+2 2a+2 2a^2+2a 2a^2+2a 2 2 2 2a 2a 2 2a^2+2a 2 2a+2 2a^2+2a generates a code of length 74 over GR(64,4) who´s minimum homogenous weight is 488. Homogenous weight enumerator: w(x)=1x^0+217x^488+56x^492+336x^494+784x^495+2170x^496+896x^500+3584x^501+4592x^502+5712x^503+7028x^504+3696x^508+8064x^509+9296x^510+10416x^511+12964x^512+11200x^516+23296x^517+23632x^518+23408x^519+22659x^520+12824x^524+22400x^525+19488x^526+17024x^527+15344x^528+350x^536+252x^544+217x^552+98x^560+70x^568+35x^576+35x^584 The gray image is a code over GF(8) with n=592, k=6 and d=488. This code was found by Heurico 1.16 in 17.8 seconds.