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 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 1 2a 2 2a^2+2a 1 1 1 1 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 2 2a^2+3a+1 1 2a^2+3a+3 2 a+2 a^2+a 3a^2+2a+2 2a a^2+3a+1 3a+1 a+2 3a^2+3 a^2+a+3 2 2a^2+3a 3a^2+2a+2 2a^2+2a+2 3a^2+2a 2a^2+3a+3 a^2+a+2 3a^2+2 3a^2+3a+1 2a^2+3 a^2+a 2 a^2+2a+2 2a^2+2a+1 2a^2+2a a+2 a^2+2 a^2+3a a^2+2 1 1 1 2a^2+3a+1 3a^2+1 2a 3a^2+a+1 a^2+2a+2 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+2a+2 2a^2+2a 2 2a^2+2a 2a^2+2a 2a^2+2a+2 2a^2+2a 2a 2a^2 2a 2a^2+2a 2a^2+2 0 2a^2 2a^2+2a 2 2a^2 0 2a+2 2a^2+2a+2 2 2a^2+2a 2a 2a^2 2a^2+2a 2a 2a^2+2a+2 2a^2+2a+2 0 2a 2a^2+2a 2 2a^2+2a+2 0 2a 2a^2+2a 2 2a^2+2a 0 2a^2+2a+2 0 0 2a 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^2+2 0 2a 2a^2+2 2 2a^2+2a 2a+2 2a^2+2a 2 2a 2a^2+2a+2 2a+2 2a^2+2 2a^2+2a 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a^2 2a^2+2a+2 2a^2+2a+2 2a^2+2 2a 2a^2+2a+2 2a^2 0 2a^2 2a^2 2a 2 2a^2 2a^2+2a 2a+2 2a^2+2a 2a+2 2a^2 2a+2 2a^2+2 2a^2+2 2a 2a^2+2a+2 2a^2+2a 2a^2+2a 2a^2+2a generates a code of length 70 over GR(64,4) who´s minimum homogenous weight is 462. Homogenous weight enumerator: w(x)=1x^0+224x^462+406x^464+224x^465+224x^466+3192x^470+1120x^471+875x^472+6608x^473+2016x^474+8176x^478+5600x^479+672x^480+16464x^481+5152x^482+13216x^486+21280x^487+518x^488+46704x^489+11424x^490+21168x^494+29344x^495+539x^496+44688x^497+9856x^498+11368x^502+350x^504+189x^512+182x^520+133x^528+119x^536+84x^544+28x^552 The gray image is a code over GF(8) with n=560, k=6 and d=462. This code was found by Heurico 1.16 in 16.5 seconds.