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 3 3a 1 1 1 3a 1 1 1 6a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6a+6 3 6a+3 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 6a+1 a+3 4a+3 1 1 8a+7 a+8 5a+7 1 a+7 2a+5 6a+4 1 8a+7 2a+5 8a 3 7 a+7 8a+4 6a+7 2a+4 7a+1 8a+3 a+3 8a+2 3 6a+4 1 1 1 2a+8 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 3a+3 3a+3 3a+6 6 6a 6a 6 3a 3 6a+6 3a+3 0 0 6a+6 3a+6 3 3a+6 6a+3 6a+6 3a 0 6a 6a+6 6a 6a 6 6 3a 6a 6a+6 3a+3 0 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 6 6a+6 6a+6 6a 3a 6a+3 6a 3a+3 3 6a+6 6 6 3a 3a+3 6a 3 6a+3 0 6a 3a+6 6a+3 0 3 6a+6 3a 6 6a 3a+6 6 3a+6 0 6a+3 3 generates a code of length 65 over GR(81,9) who´s minimum homogenous weight is 486. Homogenous weight enumerator: w(x)=1x^0+192x^486+144x^490+216x^492+864x^493+792x^494+1112x^495+576x^497+2088x^499+2304x^500+2952x^501+7992x^502+4968x^503+1800x^504+6048x^506+12312x^508+6696x^509+7992x^510+17496x^511+9504x^512+11320x^513+32832x^515+38520x^517+20520x^518+20952x^519+42552x^520+21240x^521+42280x^522+65520x^524+51912x^526+22968x^527+20376x^528+36072x^529+15984x^530+752x^531+584x^540+432x^549+272x^558+176x^567+120x^576+8x^585 The gray image is a code over GF(9) with n=585, k=6 and d=486. This code was found by Heurico 1.16 in 37.8 seconds.