The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 1 24 1 1 1 24 1 1 1 0 1 1 21 1 1 1 24 1 1 1 21 1 1 1 0 1 1 1 1 1 1 1 1 1 21 9 1 1 12 0 1 1 1 1 12 1 1 1 1 24 1 1 1 1 1 1 6 1 1 21 1 0 1 7 26 21 4 20 1 24 19 23 1 1 0 16 26 20 4 1 21 1 23 24 19 1 4 26 0 1 16 21 1 20 19 24 1 12 16 4 1 24 23 0 1 21 26 23 24 19 6 26 16 10 1 1 0 4 1 1 9 13 21 9 1 6 18 12 20 1 20 22 12 19 13 11 1 11 2 1 20 0 0 9 0 0 0 18 18 9 9 9 0 9 0 9 0 9 9 18 18 9 9 0 9 0 18 0 0 0 0 9 18 0 18 0 0 9 18 0 9 18 18 18 18 9 9 18 0 18 0 0 0 18 9 9 18 0 9 18 18 9 18 18 0 9 0 18 0 9 18 18 18 0 18 0 0 18 9 0 9 0 0 0 9 0 0 18 18 18 0 9 9 18 9 18 0 18 9 18 0 18 0 18 18 0 0 0 18 18 18 9 18 9 0 18 9 18 18 18 0 9 0 9 0 9 18 9 18 9 0 9 18 0 9 18 9 18 0 18 18 0 18 0 0 18 18 18 0 9 18 9 0 9 0 18 18 9 18 18 18 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 0 9 9 9 18 18 9 18 0 9 9 0 18 18 18 0 0 18 0 9 18 0 0 9 9 18 0 9 0 9 0 18 18 9 18 18 18 0 9 9 0 9 9 9 9 0 9 0 9 0 9 9 0 0 0 18 9 18 9 9 18 9 18 0 0 0 0 0 9 18 0 18 18 18 18 18 18 9 9 18 0 18 9 18 0 0 0 9 9 9 9 9 18 0 18 9 0 9 9 9 0 9 0 0 0 0 9 0 0 9 18 18 18 9 9 0 0 0 18 18 9 9 0 0 9 9 9 0 18 18 18 18 9 18 0 18 9 18 0 0 9 18 0 generates a code of length 80 over Z27 who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+116x^147+78x^148+72x^149+750x^150+612x^151+546x^152+2144x^153+1590x^154+1002x^155+4906x^156+4032x^157+2760x^158+7926x^159+5712x^160+3246x^161+8316x^162+4800x^163+2046x^164+4416x^165+1878x^166+402x^167+964x^168+210x^169+96x^170+158x^171+36x^172+30x^173+82x^174+6x^175+6x^176+48x^177+18x^180+14x^183+8x^186+10x^189+6x^192+4x^195+2x^204 The gray image is a code over GF(3) with n=720, k=10 and d=441. This code was found by Heurico 1.16 in 13.5 seconds.