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 0 1 1 1 1 1 3 1 6a+3 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 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 3a+5 1 0 8a+5 a+5 3 7a+7 8a+4 a 3a+5 a+7 6a+5 1 8a 8a+7 3a+7 a+3 a+8 1 3a+7 1 6a+5 a+3 2a+5 8a+7 2a+8 8a+3 a+1 a+8 3a 8a+3 1 6a+1 2a+5 6a+6 2a+1 a+8 8a+3 7a+3 a+8 3a+3 6a+7 6a+5 6a+2 2a+7 2a+6 7 5a+3 1 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+3 0 6a 6a+3 6a 3 6a+3 6 3a 3a+3 6a 0 3a 6 3a 0 6a+6 6a 6a+6 3a+3 3 3a+6 6a 3a+3 6a+6 6a+3 0 3a 6 6a+3 6a+6 0 3a+3 3 0 3a 3 6 3a+6 6a+6 3a+6 0 6 3 6a 3a+6 3a 3 3a+3 6a+6 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 0 0 3a 3 3 6a 6a+6 3a+6 3a+3 6a 6a+6 6a 6a 6a+3 3a+3 3 3a 3a+6 6a+6 3a 6 0 0 6a+6 3a+6 0 3a+6 6a 6 6a 6 3a 3a 3a 6a 3 0 3a+6 6a+6 3a 6a 3a+3 3a+3 3a 6a+6 generates a code of length 68 over GR(81,9) who´s minimum homogenous weight is 513. Homogenous weight enumerator: w(x)=1x^0+664x^513+216x^515+360x^516+1736x^522+2808x^523+11160x^524+6048x^525+5536x^531+11016x^532+33264x^533+15984x^534+19104x^540+39528x^541+103248x^542+41760x^543+29856x^549+51624x^550+114552x^551+40824x^552+624x^558+664x^567+392x^576+248x^585+168x^594+56x^603 The gray image is a code over GF(9) with n=612, k=6 and d=513. This code was found by Heurico 1.16 in 46.5 seconds.