The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 0 3 0 0 24 21 15 3 24 9 3 18 24 9 21 21 6 24 9 24 9 21 21 18 15 12 24 15 21 21 0 0 3 24 9 6 21 3 6 18 3 21 0 15 6 18 12 6 18 24 3 18 24 0 3 12 15 15 24 15 0 0 0 9 0 0 18 9 18 18 18 18 9 18 18 18 9 9 9 0 9 9 9 0 0 18 18 0 0 18 generates a code of length 30 over Z27 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+340x^54+108x^56+712x^57+324x^58+432x^59+2656x^60+648x^61+432x^62+524x^63+278x^66+98x^69+6x^72+2x^81 The gray image is a code over GF(3) with n=270, k=8 and d=162. This code was found by Heurico 1.16 in 0.0988 seconds.