The generator matrix 1 1 1 1 1 1 0 3 0 0 0 3 0 0 3 0 0 3a+6 0 0 0 3 0 3a+6 0 0 0 0 3 6a+6 generates a code of length 6 over GR(81,9) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+120x^18+1120x^27+6840x^36+21840x^45+472392x^48+29128x^54 The gray image is a code over GF(9) with n=54, k=6 and d=18. This code was found by Heurico 1.16 in 1.37 seconds.