The generator matrix 1 0 1 1 1 1 1 1 18 1 1 21 1 1 1 1 24 1 0 3 1 1 1 1 21 1 24 1 1 1 1 0 1 6 18 1 12 1 1 1 1 1 1 1 1 1 1 1 12 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 26 18 17 0 25 1 4 20 1 21 26 23 24 1 10 1 1 20 2 19 6 1 5 1 5 12 16 12 1 16 1 1 4 1 13 21 19 25 6 9 16 15 2 2 14 1 26 8 5 15 0 20 14 9 11 24 15 3 2 14 6 21 14 14 6 26 23 17 21 0 0 24 9 21 12 6 3 3 0 18 6 0 6 18 15 24 15 18 21 24 12 0 21 9 6 21 3 6 21 12 24 18 9 6 15 3 21 15 3 24 9 12 9 18 15 3 9 0 18 3 24 12 24 12 0 15 24 21 9 9 0 21 24 18 6 15 0 12 3 24 12 generates a code of length 72 over Z27 who´s minimum homogenous weight is 139. Homogenous weight enumerator: w(x)=1x^0+288x^139+684x^140+1036x^141+792x^142+540x^143+558x^144+528x^145+414x^146+510x^147+402x^148+432x^149+228x^150+66x^151+36x^152+12x^154+6x^157+6x^160+12x^162+6x^166+2x^177+2x^180 The gray image is a code over GF(3) with n=648, k=8 and d=417. This code was found by Heurico 1.16 in 0.797 seconds.