The generator matrix 1 0 1 1 1 1 1 1 1 1 1 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 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 6a+3 1 1 1 1 1 1 6a 0 3 1 1 1 1 1 1 1 1 6a+3 0 1 1 a 7a+7 8a+4 3a+5 8a+5 8a a+5 0 a+5 8a a 8a+5 3a+7 7a+7 8a+4 3a+5 1 0 8a+5 a+5 8a 8a+4 a 3a+5 7a+7 a+8 3 3a+7 6a+5 8a+7 a+7 3a 3a+7 6a+5 5 1 6a+5 6a+1 2a+4 6a+1 a+3 2a+5 3 3a+3 2a+4 2a+5 3a+2 5a+2 3a+5 1 a+8 6a+7 1 8a+3 1 8 5a+7 8a+3 3a+8 5a+3 a+3 1 1 1 2 6a+7 5a 2a 4a+7 a+8 6a+1 a+6 1 0 0 3a+6 0 3a+6 3 6a+6 6a+6 6 3a 3a+6 3a 3 0 6a 6a+3 6a+6 6 6a+3 0 6a 6a+3 6a 6a+3 6 3a 3a+3 6a 3a+6 3 3a 0 6a 6a+6 3a 0 3 3a+3 6 3 3a+3 3a 3a+3 6 6a 6a+3 0 3a+6 3a 6a+3 6a 6a+6 6a 6a 0 6 6 3a 6a+6 0 3a 3a 3 3a+3 6a+6 3a+6 3a 3a+6 3 6a+3 3a+6 0 6a+3 0 6 3a 0 0 0 3 3a+6 3a+6 3 3a 3 3a+3 6a 6a+6 6a 3a 3a+3 3a+6 0 6a+3 3a 6a+3 6a+6 6a+6 6 6a+3 3a 3 3 6a 3a 0 0 6a+6 0 6 3a 6a 6a+3 6a+6 6 6a 6a+3 6 3a+6 6a+6 6a+3 6 6a+6 3a+3 3a+6 0 6a+6 0 3 3a 6a+3 0 6a 3a+3 6a 6 3 3a 3a+6 3 6a 3 6a+3 6 0 3a 6a+6 3a+3 3 3a+6 6a 6 generates a code of length 76 over GR(81,9) who´s minimum homogenous weight is 576. Homogenous weight enumerator: w(x)=1x^0+592x^576+72x^579+360x^581+936x^582+2088x^584+1128x^585+720x^586+4032x^587+4536x^588+3744x^589+4248x^590+4392x^591+6480x^593+1128x^594+4320x^595+17064x^596+13176x^597+6912x^598+8424x^599+10368x^600+10800x^602+808x^603+18360x^604+58752x^605+41400x^606+21600x^607+21456x^608+20664x^609+20592x^611+696x^612+29088x^613+77616x^614+45792x^615+20232x^616+18000x^617+16128x^618+12528x^620+504x^621+696x^630+400x^639+328x^648+152x^657+104x^666+16x^675+8x^684 The gray image is a code over GF(9) with n=684, k=6 and d=576. This code was found by Heurico 1.16 in 43.8 seconds.