The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 3a+3 1 1 1 1 1 3a+3 1 1 3a+3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3a 1 3a+6 0 1 1 1 1 1 1 1 1 1 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 a 8a+5 3a+7 7a+7 8a+4 1 3a+5 0 3a+7 8a+5 8a+4 1 a 3a+5 7a+7 8a 3 a+5 2a+5 a+8 6a+5 1 2a+5 a+3 3a+7 a+7 8a+3 8a+7 2a+7 6a+5 1 4a+7 3 a+3 8a+8 6a+6 1 2a 3a+8 1 a+8 8a+3 6a+7 8a+3 5a+7 2a+5 6a+7 8 7a+1 8a+2 4a a+7 2a+7 7a+3 6a+5 5a+7 5a+3 6a+1 a+7 5a+7 4a+6 8a 5a+7 5a 1 5a+6 1 1 3a 4a+3 6a+8 5a+4 3a+7 5a+3 6a+7 5a+4 8a+7 5a+8 a+8 a+4 8a+7 6a+4 0 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 3a 6a 6 3a 6a+3 6a 3a+3 3a+6 0 6 6a 3 6a 6a+3 0 6a+3 6a+6 3 6a+6 3 6a 6a+3 3a 3 6a+3 3a 3a+3 6a+3 6 0 0 3a+6 6 3a 3 6a+3 6a 3a+6 6a 6a+6 3a+6 6a 0 3 6a+3 6a 3 6 6a 3a+3 6a+6 6a+6 3a 3a 3a 6a+3 6a 3a 3 6a+6 6a+6 3 3a+6 3a+3 3 6 6a+3 6 3a+3 3 6 6 3a 3 3a+3 6 0 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 6 3a 6a 3 0 3 3a+6 6a+6 3a 3a 6 3a 6a+6 0 6a+3 6a+3 3a+6 6a+6 6 6 6a 6a+3 3a 6a+3 3a 3 3a+6 6a+3 3a+6 0 6 3a 3a+6 6a+3 0 3a+3 6a 3a+3 6 6a 0 6a+6 0 6 3a+3 3a+3 3 3a 3a+6 3a+3 3a+6 6a+3 3a 3a+3 3a 6a 3a+3 6a+3 6 3a+6 3a+3 6 0 3a+6 3 6 3 6 0 6a+3 0 3a+3 6a+6 3a+3 0 generates a code of length 96 over GR(81,9) who´s minimum homogenous weight is 729. Homogenous weight enumerator: w(x)=1x^0+152x^729+72x^731+216x^737+840x^738+864x^740+1512x^741+1728x^742+2160x^744+3528x^746+2632x^747+3240x^749+16704x^750+9504x^751+5904x^753+7776x^755+6496x^756+7704x^758+34128x^759+19440x^760+12096x^762+12312x^764+20432x^765+17712x^767+85536x^768+42336x^769+19440x^771+18504x^773+26504x^774+22896x^776+72072x^777+31968x^778+12888x^780+10152x^782+504x^783+424x^792+296x^801+312x^810+248x^819+96x^828+56x^837+40x^846+16x^855 The gray image is a code over GF(9) with n=864, k=6 and d=729. This code was found by Heurico 1.16 in 58 seconds.