The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 0 9 0 9 0 9 18 18 18 0 0 9 9 9 9 0 18 18 18 0 0 0 9 18 18 9 0 9 18 0 9 18 9 18 0 9 9 18 0 18 generates a code of length 20 over Z27 who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+30x^38+10x^39+162x^40+18x^41+12x^42+2x^45+6x^47+2x^48 The gray image is a code over GF(3) with n=180, k=5 and d=114. This code was found by Heurico 1.16 in 0.00215 seconds.