The generator matrix 1 0 0 1 1 1 1 1 9 1 1 1 15 1 1 1 1 3 1 24 1 1 1 12 18 0 1 1 1 1 6 1 1 1 21 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 9 24 1 1 1 3 1 18 15 1 6 1 1 1 1 1 1 1 1 1 1 0 1 0 18 1 19 23 21 1 4 5 26 1 9 22 7 20 1 16 1 11 24 17 1 1 15 20 3 15 2 1 3 17 13 1 22 8 16 14 7 18 1 2 23 10 4 5 12 24 17 6 1 1 24 11 8 1 9 1 1 19 18 23 10 25 14 20 18 10 16 19 15 0 0 1 16 25 18 17 8 22 5 22 6 20 21 7 9 23 0 14 13 10 26 11 14 12 1 12 25 0 15 14 4 13 8 25 22 12 17 23 19 10 8 7 15 19 2 21 5 23 26 6 16 24 1 17 18 17 6 6 18 5 1 2 4 11 16 16 11 15 3 9 5 generates a code of length 72 over Z27 who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+836x^138+1284x^139+1950x^140+2274x^141+1668x^142+1980x^143+1718x^144+1326x^145+1392x^146+1408x^147+924x^148+768x^149+838x^150+540x^151+378x^152+280x^153+78x^154+12x^155+12x^156+6x^157+2x^159+6x^160+2x^162 The gray image is a code over GF(3) with n=648, k=9 and d=414. This code was found by Heurico 1.16 in 0.994 seconds.