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 3 1 3 1 1 1 0 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 0 1 1 3 1 0 1 1 1 3 1 1 3 0 1 1 1 1 1 1 1 1 0 3 24 0 21 24 0 21 24 9 21 24 6 0 21 12 6 9 24 0 21 12 0 24 9 3 6 15 9 12 24 0 3 24 21 9 18 15 21 21 15 24 12 21 9 3 15 18 21 12 9 12 6 21 21 24 12 24 6 3 18 15 15 9 24 3 9 21 21 3 3 24 0 6 21 6 18 24 3 12 3 15 0 6 12 18 0 0 0 9 0 0 0 0 18 9 0 9 18 18 0 0 9 0 0 9 18 18 9 9 18 18 9 0 18 18 9 9 18 0 18 18 9 9 0 18 18 0 9 0 9 18 9 9 18 0 18 9 18 0 18 0 18 18 18 9 0 18 0 0 0 9 9 18 9 9 9 18 18 0 9 18 18 0 0 9 18 9 0 18 9 18 9 0 0 0 0 9 0 0 0 0 0 18 0 9 18 9 9 9 9 18 9 18 9 9 0 18 9 0 9 9 18 18 18 9 9 0 9 0 9 18 18 9 0 0 18 18 18 0 0 0 18 18 9 9 0 9 18 9 9 9 18 0 0 18 0 9 9 0 9 0 9 18 18 18 9 0 9 18 0 9 18 9 9 0 18 9 18 18 0 0 0 0 0 18 0 9 18 9 9 0 9 18 0 18 0 18 0 18 18 0 0 18 9 9 0 0 18 18 18 18 0 9 0 0 0 18 18 18 0 18 18 18 9 9 9 18 18 9 9 0 18 0 18 18 0 9 18 18 0 9 9 18 18 0 18 0 9 0 9 9 0 9 18 0 0 9 0 9 0 18 9 9 18 18 9 0 0 0 0 0 0 9 9 0 18 9 0 0 9 9 18 18 9 9 0 18 0 0 18 9 9 9 9 0 9 18 0 9 0 9 9 9 0 9 18 18 0 9 0 9 18 18 0 18 0 9 0 9 0 18 18 18 9 18 9 18 0 0 9 9 18 0 0 0 9 0 0 9 9 18 9 0 18 9 18 18 18 9 0 18 0 0 0 generates a code of length 87 over Z27 who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+30x^159+126x^161+206x^162+276x^164+248x^165+108x^166+558x^167+420x^168+864x^169+684x^170+1256x^171+2592x^172+672x^173+2210x^174+3456x^175+732x^176+1542x^177+1728x^178+612x^179+248x^180+384x^182+176x^183+210x^185+98x^186+90x^188+44x^189+18x^191+16x^192+12x^194+22x^195+14x^198+8x^201+10x^204+2x^207+4x^210+2x^213+2x^216+2x^228 The gray image is a code over GF(3) with n=783, k=9 and d=477. This code was found by Heurico 1.16 in 3.54 seconds.