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 3 1 1 1 1 3 1 1 1 0 1 1 1 1 1 1 1 1 3 3 1 1 0 1 1 1 1 1 3 3 1 1 1 3 1 0 1 3 1 1 1 0 3 24 0 21 24 0 21 24 9 21 6 0 21 24 12 18 6 21 0 24 0 6 6 21 18 9 12 6 3 18 24 0 9 21 21 24 3 9 15 21 3 24 15 6 24 9 24 24 3 9 21 6 12 9 9 18 3 21 24 3 6 3 0 12 21 18 6 24 21 6 6 9 21 9 3 6 24 21 15 18 0 0 9 0 0 0 0 18 9 0 9 18 18 9 0 18 9 18 9 9 0 0 18 9 18 18 18 9 0 0 0 9 9 9 9 18 0 18 9 0 9 18 9 9 18 9 18 0 18 0 9 18 18 0 0 0 18 9 0 18 9 9 18 18 0 18 0 0 18 0 9 0 18 18 18 0 0 9 9 0 0 0 0 0 9 0 0 0 0 0 18 0 0 9 18 18 18 18 18 18 9 0 18 0 9 0 0 18 9 9 0 18 18 0 18 18 18 18 9 18 9 18 9 9 0 18 18 9 18 0 0 18 0 18 9 9 9 9 9 9 18 18 9 9 18 18 18 0 18 9 9 18 9 9 18 18 18 18 0 0 0 9 0 0 0 0 18 0 9 18 9 9 0 9 18 0 18 9 18 9 18 0 9 0 9 0 0 9 18 0 9 0 9 0 9 0 9 9 9 9 9 0 9 9 9 0 18 0 0 0 0 18 9 0 18 0 18 9 0 9 9 9 9 18 9 0 9 18 18 18 18 0 9 18 0 18 18 9 18 9 18 18 0 0 0 0 0 0 9 9 0 18 9 0 9 9 9 9 9 0 0 9 9 18 9 0 0 9 9 18 0 0 9 18 9 0 18 0 18 9 9 18 0 18 0 18 9 0 18 9 0 9 9 9 0 18 18 0 18 18 9 0 18 18 0 18 9 9 0 9 18 18 9 9 0 0 0 0 0 9 18 18 9 0 generates a code of length 81 over Z27 who´s minimum homogenous weight is 148. Homogenous weight enumerator: w(x)=1x^0+30x^148+292x^150+108x^151+60x^152+376x^153+276x^154+120x^155+640x^156+1002x^157+276x^158+1400x^159+2832x^160+300x^161+2496x^162+3720x^163+342x^164+1818x^165+1902x^166+264x^167+450x^168+168x^169+72x^170+300x^171+102x^172+24x^173+110x^174+36x^175+52x^177+24x^178+28x^180+6x^181+10x^183+14x^186+6x^189+10x^192+4x^195+4x^198+2x^201+2x^204+2x^207+2x^210 The gray image is a code over GF(3) with n=729, k=9 and d=444. This code was found by Heurico 1.16 in 37.1 seconds.