The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 3 1 1 1 1 1 0 6 1 1 1 1 1 1 0 1 1 1 6 1 1 1 0 1 1 1 6 1 1 6 6 1 1 1 1 1 1 6 1 3 1 1 1 1 6 3 1 1 6 1 1 1 1 1 3 1 1 1 1 1 0 1 1 1 0 1 1 8 0 1 8 1 0 7 8 1 0 4 2 1 0 1 7 8 5 4 3 1 1 0 7 8 3 8 1 1 8 6 7 1 2 6 1 1 1 0 1 1 8 5 1 1 5 7 3 2 5 7 1 2 1 6 7 3 4 1 1 4 0 1 2 4 8 1 4 1 7 4 0 6 4 3 7 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 3 0 0 3 0 6 3 6 3 3 3 3 6 6 6 6 0 6 0 3 3 3 3 3 3 6 0 6 6 3 0 6 3 6 6 3 0 6 6 3 6 3 0 6 6 3 0 6 0 3 0 3 6 6 0 0 0 0 6 6 6 6 0 0 0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 6 0 0 6 3 0 6 6 6 3 3 0 3 0 3 6 3 0 6 3 3 6 3 3 0 3 6 0 6 0 6 0 3 3 3 0 3 0 3 3 3 0 3 3 6 6 3 3 3 0 0 0 3 0 0 3 0 3 3 6 6 6 6 6 0 0 6 3 3 6 0 0 0 0 3 0 0 0 3 6 6 0 3 6 6 3 3 6 3 6 0 3 6 0 6 3 6 3 6 3 0 6 3 3 0 0 6 3 0 0 6 0 3 6 0 0 6 6 0 3 6 6 0 6 3 3 0 6 6 0 0 6 3 6 0 3 3 3 6 3 3 6 6 0 3 6 0 6 0 6 6 0 0 0 0 0 6 0 3 6 6 6 6 0 3 6 0 0 3 6 6 0 6 6 0 0 0 3 6 0 3 0 6 3 0 3 3 3 6 0 6 3 6 3 0 6 0 6 0 3 0 3 0 3 3 0 6 0 6 3 6 3 6 6 3 6 3 6 3 0 0 0 3 0 6 0 0 0 6 0 0 3 0 0 0 0 0 0 3 6 6 6 0 6 6 6 3 0 3 6 0 3 0 6 0 3 3 3 3 3 0 3 3 0 3 6 0 3 3 3 3 0 3 0 6 0 6 3 3 0 0 6 0 6 6 6 0 3 3 3 0 6 3 6 6 0 6 0 0 6 0 3 3 0 6 6 6 0 6 6 6 0 3 generates a code of length 81 over Z9 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+110x^144+30x^145+66x^146+188x^147+186x^148+252x^149+226x^150+540x^151+522x^152+202x^153+834x^154+1032x^155+176x^156+1062x^157+1182x^158+182x^159+1368x^160+1368x^161+220x^162+1518x^163+1590x^164+150x^165+1350x^166+1380x^167+142x^168+990x^169+846x^170+126x^171+570x^172+390x^173+98x^174+210x^175+102x^176+96x^177+72x^178+18x^179+96x^180+18x^181+68x^183+44x^186+26x^189+22x^192+12x^195+2x^198 The gray image is a code over GF(3) with n=243, k=9 and d=144. This code was found by Heurico 1.16 in 9.45 seconds.