The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 3 1 3 1 3 0 3 0 0 24 21 3 15 24 21 9 24 21 24 9 21 6 24 12 3 0 0 3 24 0 15 3 21 24 15 0 3 9 18 9 15 24 9 21 12 0 0 0 9 0 0 18 9 0 18 9 18 0 18 18 9 9 18 0 0 0 0 0 0 9 18 9 0 18 18 0 0 9 0 18 9 0 9 18 9 generates a code of length 20 over Z27 who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+496x^33+162x^34+1304x^36+972x^37+1944x^38+2478x^39+3402x^40+3888x^41+2632x^42+1296x^43+1004x^45+78x^48+22x^51+4x^54 The gray image is a code over GF(3) with n=180, k=9 and d=99. This code was found by Heurico 1.16 in 12.1 seconds.