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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 18 18 1 1 1 0 3 1 1 1 1 0 3 0 0 0 24 21 15 3 6 15 21 18 6 3 12 24 24 18 24 18 21 21 18 6 9 12 12 0 21 18 6 24 9 6 15 21 15 12 21 24 0 6 3 12 18 0 6 3 24 18 24 0 18 3 3 0 9 18 3 9 15 3 18 21 0 0 3 0 9 18 9 18 0 0 21 15 15 6 21 15 12 24 3 6 21 21 6 6 21 6 12 15 24 12 6 15 12 9 9 3 15 21 0 18 9 12 6 12 9 15 21 9 18 15 6 0 0 21 6 12 9 0 9 6 9 12 12 9 3 0 0 0 3 15 0 6 3 12 15 18 24 24 6 0 9 3 21 15 18 12 3 21 21 15 18 6 12 18 3 12 6 24 18 9 12 9 9 6 9 15 0 9 6 21 6 24 3 6 3 6 24 24 0 12 18 3 18 0 15 21 3 18 6 18 generates a code of length 65 over Z27 who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+126x^120+324x^121+300x^122+326x^123+540x^124+324x^125+902x^126+930x^127+2166x^128+2336x^129+2448x^130+3828x^131+2290x^132+870x^133+336x^134+206x^135+318x^136+156x^137+190x^138+210x^139+102x^140+84x^141+120x^142+60x^143+68x^144+66x^145+18x^146+30x^147+6x^148+2x^180 The gray image is a code over GF(3) with n=585, k=9 and d=360. This code was found by Heurico 1.16 in 2.08 seconds.