The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 0 9 0 0 9 0 9 9 18 0 0 9 9 0 18 9 18 18 9 0 0 0 0 9 0 18 9 18 9 18 0 9 9 0 18 0 0 9 9 9 0 0 0 0 0 9 18 18 0 18 18 18 9 0 18 0 18 9 9 0 9 0 0 generates a code of length 21 over Z27 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+22x^36+54x^40+524x^42+108x^43+4x^45+14x^51+2x^60 The gray image is a code over GF(3) with n=189, k=6 and d=108. This code was found by Heurico 1.16 in 0.00278 seconds.