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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 3 3 1 3 1 1 1 3 1 3 3 1 1 1 0 3 0 0 24 21 15 3 24 21 18 0 21 15 9 24 24 21 15 21 18 15 18 3 15 9 21 12 24 6 18 3 9 6 3 15 9 18 21 15 24 12 0 21 24 0 12 3 6 0 18 18 3 21 6 24 6 18 3 3 0 6 3 24 0 0 3 15 21 15 6 15 0 24 9 15 12 0 24 6 21 21 0 0 3 24 0 15 21 3 6 6 21 0 3 21 15 9 6 0 18 6 3 21 18 18 6 24 21 12 15 0 9 24 3 12 21 6 6 18 18 18 12 0 18 24 0 24 24 3 24 12 3 18 3 0 15 12 21 6 3 15 3 9 18 24 3 9 15 12 18 3 3 3 6 15 12 21 3 24 15 6 9 15 0 0 0 9 0 0 18 0 0 9 18 9 18 9 18 0 9 18 18 9 0 0 18 9 18 0 18 18 18 9 18 9 9 18 0 9 18 9 18 0 0 9 0 0 9 18 18 9 9 9 18 9 0 0 0 9 0 0 9 18 9 18 18 9 18 18 9 18 0 9 9 18 0 18 0 18 0 0 9 18 18 0 0 0 0 0 9 18 0 9 18 0 18 9 0 0 0 0 9 18 18 9 9 9 18 9 18 9 18 9 0 0 0 18 0 18 18 18 18 18 0 18 18 18 18 0 18 9 0 9 0 9 9 0 0 9 0 18 0 18 18 18 9 9 9 0 0 9 18 9 18 0 0 0 0 18 18 18 0 18 0 9 18 0 generates a code of length 82 over Z27 who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+196x^153+126x^154+216x^155+518x^156+390x^157+372x^158+728x^159+750x^160+852x^161+2008x^162+2040x^163+3012x^164+3030x^165+1890x^166+1002x^167+780x^168+336x^169+96x^170+274x^171+114x^172+150x^173+214x^174+72x^175+84x^176+196x^177+48x^178+24x^179+48x^180+42x^181+24x^182+18x^183+24x^184+6x^186+2x^225 The gray image is a code over GF(3) with n=738, k=9 and d=459. This code was found by Heurico 1.16 in 3 seconds.