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 0 1 3 1 1 1 1 1 1 0 1 1 1 3 3 1 1 3 3 3 1 9 1 3 3 1 1 0 3 0 0 0 24 21 15 3 6 24 21 3 9 15 18 15 21 18 6 9 3 15 3 6 9 21 6 0 18 12 21 15 18 9 15 18 21 0 0 3 6 0 15 12 18 12 21 15 12 6 15 24 3 9 3 18 21 18 24 12 15 9 12 24 6 6 6 6 24 21 3 12 18 0 9 9 9 9 3 9 21 0 3 21 0 9 3 24 0 0 3 0 9 18 9 18 0 0 24 12 6 15 21 3 15 3 15 12 12 24 21 24 15 15 3 12 3 6 18 18 18 18 15 3 9 12 21 21 21 15 6 12 6 21 12 24 18 9 24 9 18 18 21 18 15 18 24 15 21 15 3 6 18 9 9 6 12 9 24 9 21 9 9 15 15 6 0 21 6 0 24 0 21 24 24 9 21 0 0 0 3 15 0 6 3 12 15 9 9 3 15 6 12 24 6 0 9 15 24 12 18 3 12 12 15 18 6 6 21 6 18 3 9 12 0 3 15 12 12 0 3 9 24 6 21 21 9 18 15 9 15 3 12 9 12 9 3 0 15 9 24 24 18 12 18 0 15 3 18 24 9 6 9 15 15 6 15 3 0 18 15 24 9 21 0 24 generates a code of length 89 over Z27 who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+672x^168+54x^170+1224x^171+252x^172+468x^173+1470x^174+1008x^175+1818x^176+1974x^177+1674x^178+2592x^179+2010x^180+1368x^181+828x^182+840x^183+72x^184+72x^185+456x^186+364x^189+228x^192+192x^195+44x^198+2x^234 The gray image is a code over GF(3) with n=801, k=9 and d=504. This code was found by Heurico 1.16 in 49.6 seconds.