The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 0 1 1 a 7a+7 8a+4 3a+5 8a+5 8a a+5 0 a+5 8a 8a+5 8a+4 1 a 7a+7 3a+7 3a+5 a+5 8a+5 7a+7 8a+4 1 a 3a+7 2a+5 3a+7 8a+7 a+7 0 8a a+3 a+8 2a+5 8a+3 4a+3 2a+4 2a+5 a+8 1 3 3 7a+2 4a+3 a+8 8a+1 8a+3 4a+8 8a+2 a+3 8a+5 8a+3 4a+3 5a+4 1 5a+3 3a+5 8a a 8a+3 0 0 0 3a+6 0 3a+6 3 6a+6 6a+6 6 3a 3a+6 3a 3 3a 3 3 6a+6 6 3a+6 3a+3 6a+6 6 0 3a 6 6 3 3a 6a 6a+3 6a 6a+3 6a+6 3a+6 6 3a+3 3a+6 3a+3 3a+3 6a+6 6a+6 6a 3 6a+3 3a+3 3a 6 6a 3 3a 6a+6 3a 6a+3 6a 3 3a+3 0 3a+6 6a 3a+6 6 6 0 0 0 0 3 3a+6 3a+6 3 3a 3 3a+3 6a 6a+6 6a 6a+3 0 6a+6 3a+3 3a+6 3a 3a+3 6a 3a 6a+6 6 0 3a+3 3a 0 6a+6 3a+6 3 6a 6a+6 6a+6 6a 3a 3 6a+6 6a 6 6a+3 3a 3a+6 3a 6 3a+3 0 6a+3 3 3a 6a+6 3 6a+3 3a+6 6a+3 3 3a+3 3a+3 0 0 0 3a 0 generates a code of length 63 over GR(81,9) who´s minimum homogenous weight is 468. Homogenous weight enumerator: w(x)=1x^0+192x^468+360x^474+432x^476+1744x^477+72x^480+576x^481+648x^482+2160x^483+2376x^484+5832x^485+8664x^486+1728x^489+6048x^490+4536x^491+6264x^492+6480x^493+16200x^494+19768x^495+13824x^498+32832x^499+18144x^500+14544x^501+20736x^502+41688x^503+42120x^504+36864x^507+65520x^508+29160x^509+29160x^510+22896x^511+40824x^512+37160x^513+768x^522+432x^531+408x^540+176x^549+80x^558+24x^567 The gray image is a code over GF(9) with n=567, k=6 and d=468. This code was found by Heurico 1.16 in 36.3 seconds.