The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 0 9 0 0 0 9 0 18 18 0 9 9 0 18 9 9 9 18 0 9 0 0 9 0 0 18 9 0 18 0 18 9 9 18 18 18 0 18 9 0 0 0 0 9 0 18 9 18 0 9 18 0 9 9 0 9 18 9 18 0 0 0 0 0 9 9 9 9 18 9 18 18 18 0 18 9 9 9 9 9 generates a code of length 20 over Z27 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+204x^36+216x^39+1458x^40+216x^42+72x^45+20x^54 The gray image is a code over GF(3) with n=180, k=7 and d=108. This code was found by Heurico 1.16 in 0.106 seconds.